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@inproceedings{segal_khomology,
  title={K-homology theory and algebraic K-theory},
  booktitle={K-Theory and Operator Algebras},
  author={Segal, Graeme},
  editor={Bernard B. Morrel and I. M. Singer},
  series={Lecture Notes in Mathematics},
  volume={575},
  pages={113--127},
  year={1977},
  publisher={Springer},
  MRCLASS = {55B15 (46M20 58B15 58G10)},
  MRNUMBER = {0515311},
  MRREVIEWER = {Jerome Kaminker},
}
@book{blackadar_ktheory,
  title={K-theory for operator algebras},
  author={Blackadar, Bruce},
  edition={2},
  volume={5},
  series={Mathematical Sciences Research Institute Publications},
  year={1998},
  publisher={Cambridge University Press}
}
@inproceedings{ralphMeyer,
  title={Categorical aspects of bivariant K-theory},
  author={Ralph Meyer},
  booktitle={K-theory and Noncommutative Geometry},
  editor={Guillermo Cortiñas and Joachim Cuntz and Max Karoubi and Ryszard Nest and Charles A. Weibel},
  series={EMS series of congress reports},
  year={2008},
  publisher={European Mathematical Society}
}
@book{blackadar_opalg,
  title={Operator algebras: theory of C*-algebras and von Neumann algebras},
  author={Blackadar, Bruce},
  editor={Joachim Cuntz and Vaughan F.R. Jones},
  series={Encyclopaedia of Mathematical Sciences},
  volume={122},
  subseries={Operator Algebras and Non-Commutative Geometry},
  subnumer={3},
  year={2006},
  publisher={Springer Science \& Business Media}
}
@article{dold_thom,
  title={\textgerman{Quasifaserungen und unendliche symmetrische Produkte}},
  author={Dold, Albrecht and Thom, René},
  journal={Annals of Mathematics},
  pages={239--281},
  year={1958},
  publisher={JSTOR},
  hyphenation={german}
}
@book{meise_funkana,
  title={Einführung in die Funktionalanalysis},
  author={Meise, Reinhold and Vogt, Dietmar},
  year={1992},
  publisher={Vieweg}
}
@book{reed_functional,
  title={Functional Analysis},
  author={Reed, Michael and Simon, Barry},
  series={Methods of modern mathematical physics},
  volume={1},
  year={1980},
  publisher={Academic Press}
}
@book{karoubi2008k,
  title={K-theory: An introduction},
  author={Karoubi, Max},
  volume={226},
  series={A Series of Comprehensive Studies in Mathematics},
  year={2008},
  publisher={Springer-Verlag}
}
@book{schroeder93k,
  title={\K-theory for real \Cstar-algebras and applications},
  author={Schröder, Herbert},
  volume={290},
  series={Pitman Research Notes in Mathematics},
  year={1993},
  publisher={Longman Scientific \& Technical}
}
@book{adams_loop,
  title={Infinite Loop Spaces},
  author={Adams, John Frank},
  volume={90},
  series={Annals of Mathematics Studies},
  year={1978},
  publisher={Princeton University Press}
}
@book{adams_stable,
  title={Stable homotopy and generalised homology},
  author={Adams, John Frank},
  year={1974},
  series={Chicago Lectures in Mathematics},
  publisher={University of Chicago Press}
}
@book{lewis-may-steinberger_equivariant,
  title={Equivariant stable homotopy theory},
  author={Lewis , L. Gaunce and May, J. Peter and Steinberger, Mark},
  volume={1213},
  year={1986},
  series={Lecture Notes in Mathematics},
  volume={1213},
  publisher={Springer}
}
@book{tomDieck_algebraic,
  title={Algebraic Topology},
  author={{tom Dieck}, Tammo},
  year={2008},
  series={EMS Textbooks in Mathematics},
  publisher={European Mathematical Society}
}
@article{dold_theory_fibrations,
 ISSN = {0003486X},
 URL = {http://www.jstor.org/stable/1970341},
 author = {Albrecht Dold},
 journal = {Annals of Mathematics},
 number = {2},
 pages = {223-255},
 publisher = {Annals of Mathematics},
 title = {Partitions of Unity in the Theory of Fibrations},
 volume = {78},
 year = {1963}
}
@article{brown1965abstract,
  title={Abstract homotopy theory},
  author={Brown, Edgar H.},
  journal={Transactions of the American Mathematical Society},
  volume={119},
  number={1},
  pages={79--85},
  year={1965},
  publisher={American Mathematical Society},
  url={http://www.ams.org/journals/tran/1965-119-01/S0002-9947-1965-0182970-6/}
}
@article{brown1962cohomology,
  title={Cohomology theories},
  author={Brown, Edgar H.},
  journal={Annals of Mathematics},
  pages={467--484},
  year={1962},
  url = {http://www.jstor.org/stable/1970209},
  publisher={Annals of Mathematics}
}
@article{milnor1956construction,
 URL = {http://www.jstor.org/stable/1970012},
 author = {John Milnor},
 journal = {Annals of Mathematics},
 number = {3},
 pages = {430-436},
 publisher = {Annals of Mathematics},
 title = {Construction of Universal Bundles, II},
 volume = {63},
 year = {1956}
}

@book{Rudyak_spectra,
 author = {Rudyak, Yuli B.},
 title = {On {T}hom spectra, orientability, and cobordism},
 series = {Springer Monographs in Mathematics},
 note = {With a foreword by Haynes Miller},
 publisher = {Springer-Verlag},
 year = {1998},
 isbn = {3-540-62043-5},
}

@book{Switzer,
 author = {Switzer, Robert M.},
 title = {Algebraic topology---homotopy and homology},
 series = {Classics in Mathematics},
 note = {Reprint of the 1975 original},
 publisher = {Springer-Verlag},
 year = {2002}
}

@book{Hatcher,
	Author = {Allen Hatcher},
	Publisher = {Cambridge University Press},
	Title = {Algebraic Topology},
	Year = {2002},
	Url ={https://www.math.cornell.edu/~hatcher/AT/ATpage.html},
	Urldate ={2018-07-27}
}

@unpublished{VBKT,
	Author = {Allen Hatcher},
	Title = {Vector Bundles \& K-Theory},
	Year = {2017},
	Month ={11},
	Note ={incomplete book draft, version 2.2},
	Url ={https://www.math.cornell.edu/~hatcher/VBKT/VBpage.html},
	Urldate ={2018-07-27}
}

@article{puppe_homotopiemengen,
    title={\textgerman{Homotopiemengen und ihre induzierten Abbildungen. I}},
    author={Puppe, Dieter},
    journal={\textgerman{Mathematische Zeitschrift}},
    volume={69},
    number={1},
    pages={299--344},
    year={1958},
    publisher={Springer},
	note={Found via \aiMathOverflow\url{https://mathoverflow.net/questions/76505/}}
}

@article{atiyah_reality,
  title={K-theory and reality},
  author={Atiyah, Michael F.},
  journal={The Quarterly Journal of Mathematics},
  volume={17},
  number={1},
  pages={367--386},
  year={1966},
  publisher={Oxford University Press}
}

@article{atiyah_bott,
	author={Atiyah, Michael F. and Bott, Raoul},
	title={On the periodicity theorem for complex vector bundles},
	journal={Acta Mathematica},
	year={1964},
	month={12},
	day={01},
	volume={112},
	number={1},
	pages={229--247},
	doi={10.1007/BF02391772}
}

@book{atiyah_ktheory,
	author = {Atiyah, Michael F.},
	title = {K-theory},
	edition = {2nd},
	series = {Advanced Book Classics},
	publisher = {Addison-Wesley},
	year = {1989},
	note = {Reprint of the original edition published by W. A.Benjamin in 1967, see \cite{atiyah_ktheory_old}; the numbering differs.},
}

@book{atiyah_ktheory_old,
	author = {Atiyah, Michael F.},
	title = {K-theory},
	publisher = {W. A. Benjamin},
	year = {1967},
	note = {Note: Differs from \cite{atiyah_ktheory} in numbering.}
}

@article{clifford_modules,
  title={Clifford modules},
  author={Atiyah, Michael F. and Bott, Raoul and Shapiro, Arnold},
  journal={Topology},
  volume={3},
  pages={3--38},
  year={1964},
  publisher={Elsevier}
}

@book{garling2011clifford,
  title={Clifford Algebras: An Introduction},
  author={Garling, David J.H.},
  volume={78},
  series={London Mathematical Society Student Texts},
  year={2011},
  publisher={Cambridge University Press}
}

@book{lawson_spin,
  title={Spin Geometry},
  author={Lawson, H. Blaine and Michelsohn, Marie-Louise},
  year={1989},
  publisher={Princeton University Press}
}

@article{bott1959stable,
  title={The stable homotopy of the classical groups},
  author={Bott, Raoul},
  journal={Annals of Mathematics},
  pages={313--337},
  year={1959},
  publisher={Princeton University},
  doi={10.2307/1970106}
}

@article{bott1959quelques,
  title={Quelques remarques sur les théorèmes de périodicité},
  author={Bott, Raoul},
  journal={Bull. Soc. Math. France},
  volume={87},
  pages={293--310},
  year={1959}
}

@inproceedings{atiyah_hirze_vbhs,
  title={Vector bundles and homogeneous spaces},
  author={Atiyah, Michael F. and Hirzebruch, Friedrich},
  booktitle={Proceedings of the Symposium in Pure Mathematics},
  volume={3},
  publisher={American Mathematical Society},
  pages={7--38},
  year={1961}
}

@article{atiyah_singer_skew,
  title={Index theory for skew-adjoint Fredholm operators},
  author={Atiyah, Michael F. and Singer, Isadore Manuel},
  journal={Publications Mathématiques de l'Institut des Hautes Études Scientifiques},
  volume={37},
  number={1},
  pages={5--26},
  year={1969},
  publisher={Springer},
  doi = {10.1007/BF02684885}
}
@book{atiyah_collected_2,
  title={Michael Atiyah Collected Works: Volume 2: K-Theory},
  volume={2},
  author={Atiyah, Michael F.},
  isbn={9780198532767},
  lccn={87034744},
  series={Collected Works},
  year={1988},
  publisher={Clarendon Press}
}

@article{whitehead_generalized,
  title={Generalized homology theories},
  author={Whitehead, George W.},
  journal={Transactions of the American Mathematical Society},
  volume={102},
  pages={227--283},
  year={1962}
}
@MISC{MO_104866,
    TITLE = {Brown representability for non-connected spaces},
	year={2013},
    AUTHOR = {Mike Shulman},
    HOWPUBLISHED = {\aiMathOverflow MathOverflow question},
    URL = {https://mathoverflow.net/q/104866},
	urldate={2018-07-27}
}

@unpublished{ebert_index,
	title={unfinished book manuscript about index theory},
	author={Johannes Ebert},
	howpublished={not yet published},
	year={2018}
}
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@unpublished{ebert_index_lec,
	title={Index Theory},
	author={Johannes Ebert},
	howpublished={Lecture notes on webpage},
	url={https://ivv5hpp.uni-muenster.de/u/jeber_02/skripten.html},
	urldate={2018-10-30},
	year={2014}
}

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@article{palais_homotopy_infinite,
	title ={Homotopy theory of infinite dimensional manifolds},
	journal = {Topology},
	volume = {5},
	number = {1},
	pages = {1 - 16},
	year = {1966},
	doi = {10.1016/0040-9383(66)90002-4},
	author = {Palais, Richard S.}
}
@unpublished{dold_thom_barnet,
	title={The Dold-Thom Theorem},
	author={Thomas Barnet-Lamb},
	url={http://people.brandeis.edu/~tbl/dold-thom.pdf},
	urldate={2018-05-11},
	howpublished={expository paper},
	year={2005}
}
@book{aguilar2008algebraic,
	title={Algebraic topology from a homotopical viewpoint},
	author={Aguilar, Marcelo and Gitler, Samuel and Prieto, Carlos},
	year={2008},
	publisher={Springer}
}
@article{spanier_whitehead_1955, 
	title={Duality in homotopy theory}, 
	volume={2}, 
	DOI={10.1112/S002557930000070X}, 
	number={1}, 
	journal={Mathematika}, 
	publisher={London Mathematical Society}, 
	author={Spanier, E. H. and Whitehead, J. H. C.}, 
	year={1955}, 
	pages={56–80}
}
@article{dold_puppe_1980,
	author = {Dold, Albrecht and Puppe, Dieter},
	title={Duality, trace and transfer},
	year={1984},
	journal={Proceedings of the Steklov Institute of Mathematics},
	publisher={Springer},
	number={4},
	pages={85--103},
	editor={P. S. Aleksandrov},
	related={dold_puppe_1980_orig},
	relatedtype={translationof}
}
@article{dold_puppe_1980_orig,
	author = {Dold, Albrecht and Puppe, Dieter},
	language={russian},
	hyphenation={russian},
	title={\textrussian{Двойственность, след и трансфер}},
	year={1983},
	journal={\textrussian{Труды Математического института}},
	number={154},
	pages={81--97},
}
@inproceedings{macduff1977configuration,
  title={Configuration spaces},
  booktitle={\K-Theory and Operator Algebras},
  author={MacDuff, Dusa},
  editor={Bernard B. Morrel and I. M. Singer},
  series={Lecture Notes in Mathematics},
  volume={575},
  pages={88--95},
  year={1977},
  publisher={Springer}
}
@unpublished{wilson_equivariant,
	title={Equivariant $\K$-theory},
	author={Dylan Wilson},
	howpublished={talk manuscript},
	eventtitle={Second Chicago Summer School in Geometry and Topology},
	eventdate={2016-07-25/2016-07-29},
	url={http://math.uchicago.edu/~chicagotopology2/},
	urldate={2018-06-01}
}
@article{velasquez_configuration,
  title={A configuration space for equivariant connective \K-homology},
  author={Velasquez, Mario},
  journal={Journal of Non-Commutative Geometry},
  volume={9},
  issue={4},
  year={2015},
  pages={1343–1382},
  DOI={10.4171/JNCG/225},
  publisher={European Mathematical Society}
}
@article{behrens2002new,
	title={A new proof of the Bott periodicity theorem},
	author={Behrens, Mark J.},
	journal={Topology and its Applications},
	volume={119},
	number={2},
	pages={167--183},
	year={2002},
	publisher={Elsevier},
	doi = {10.1016/S0166-8641(01)00060-8},
	related={behrens_new_addendum},
	relatedstring={Corrected and revised in}
}
@article{behrens_new_addendum,
	title = {Addendum to \enquote{A new proof of the Bott periodicity theorem}},
	journal = {Topology and its Applications},
	volume = {143},
	number = {1},
	pages = {281 - 290},
	year = {2004},
	doi = {10.1016/j.topol.2004.05.008},
	author = {Mark J. Behrens},
}
@article{karoubi_classifying,
	URL = {http://www.jstor.org/stable/1995218},
	author = {Max Karoubi},
	journal = {Transactions of the American Mathematical Society},
	number = {1},
	pages = {75--115},
	publisher = {American Mathematical Society},
	title = {Espaces Classifiants en \K-Théorie},
	volume = {147},
	year = {1970}
}
@article{cuntz_newlook,
	title={A new look at \KK-theory},
	author={Cuntz, Joachim},
	journal={K-theory},
	volume={1},
	number={1},
	pages={31--51},
	year={1987},
	publisher={Springer}
}
@article{kasparov1980,
	title={The operator \K-functor and extensions of \Cstar-algebras},
	author={Kasparov, Gennadii Georgievich},
	journal={{Mathematics of the USSR. Izvestiya}},
	volume={16},
	Pages = {513--572},
	year={1981},
	publisher={American Mathematical Society},
	related={kasparov1980_orig},
	relatedtype={translationof},
	translator={J. Szūcs}
}
@article{kasparov1980_orig,
	title={\textrussian{Операторный \K-функтор и~расширения \Cstar-алгебр}},
	author={Kasparov, Gennadii Georgievich},
	language={russian},
	journal={\textrussian{Изв. АН СССР. Серия математическая}},
	volume={44},
	number={3},
	Pages = {571--636},
	year={1980},
	publisher={American Mathematical Society},
}
@book{Murphy,
	Author = {Gerard J. Murphy},
	Publisher = {Academic Press},
	Title = {\Cstar-Algebras and Operator Theory},
	Year = {1990},
	doi={10.1016/C2009-0-22289-6}
}
@article{kasparov1975_K_homology,
	title={Topological invariants of elliptic operators. I: \K-ho\-mo\-lo\-gy},
	author={Kasparov, Gennadii Georgievich},
	journal={Mathematics of the USSR-Izvestiya},
	volume={9},
	number={4},
	pages={751--792},
	year={1975},
	related={kasparov1975_K_homology_orig},
	relatedtype={translationof},
}
@article{kasparov1975_K_homology_orig,
	title={\textrussian{Топологические инварианты эллиптических операторов.~I. \K-гомологии}},
	author={Kasparov, Gennadii Georgievich},
	language={russian},
	journal={\textrussian{Изв. АН СССР. Серия математическая}},
	volume={39},
	number={4},
	pages={796–-838},
	year={1975},
}
@article{kasparov_hilbertCstar,
	URL = {http://www.jstor.org/stable/24713855},
	author = {Kasparov, Gennadii Georgievich},
	journal = {Journal of Operator Theory},
	number = {1},
	pages = {133--150},
	publisher = {Theta Foundation},
	title = {Hilbert \Cstar-modules: Theorems of Stinespring and Voiculescu},
	volume = {4},
	year = {1980},
}
@inbook{baum_douglas_K_homology,
	title={\K-homology and index theory},
	author={P. Baum and R. Douglas},
	year={1982},
	booktitle={Operator Algebras and Applications},
	editor={Richard V. Kadison},
	volume={38},
	series={Proceedings of Symposia in Pure Mathematics},
	pages={117--173},
	publisher={American Mathematical Society}
}
@online{baum2007equivalence,
	title={On the equivalence of geometric and analytic K-homology},
	author={Baum, Paul and Higson, Nigel and Schick, Thomas},
	year={2007},
	version={4},
	eprinttype={arxiv},
	eprint={math/0701484v4},
}
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@book{higson_roe,
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	title={Analytic \K-homology},
	author={Higson, Nigel and Roe, John},
	year={2000},
	series={Oxford Mathematical Monographs},
	publisher={Oxford University Press}
}
@article{BDF_1977,
	title={Extensions of \Cstar-algebras and \K-homology},
	author={Brown, Lawrence G. and Douglas, Ronald George and Fillmore, Peter A.},
	journal={Annals of Mathematics},
	pages={265--324},
	volume={105},
	number={2},
	year={1977},
	doi={10.2307/1970999}
}
@article{milnor_spacesCW,
	title={On spaces having the homotopy type of CW-complex},
	author={Milnor, John},
	journal={Transactions of the American Mathematical Society},
	volume={90},
	number={2},
	pages={272--280},
	year={1959},
	doi={10.1090/S0002-9947-1959-0100267-4}
}
@incollection{may_quasifib,
	author={J. Peter May},
	title={Weak equivalences and quasifibrations},
	booktitle={Groups of self-equivalences and related topics},
	pages={91--101},
	year={1990},
	publisher={Springer},
	url={http://www.math.uchicago.edu/~may/PAPERS/67.pdf},
	urldate={2018-06-28}
}
@MISC{MO_64891,
    TITLE = {Equivalent definitions of topological K-theory over locally compact spaces},
    AUTHOR = {Tom Goodwillie},
    HOWPUBLISHED = {\aiMathOverflow MathOverflow answer},
    URL = {https://mathoverflow.net/q/64891},
	year={2011},
	urldate={2018-07-27}
}
@MISC{MO_203953,
    TITLE = {A survey for various $K$-homology theories and their relationship},
    AUTHOR = {Paul Siegel},
    HOWPUBLISHED = {\aiMathOverflow MathOverflow answer},
    EPRINT = {https://mathoverflow.net/q/203953},
    URL = {https://mathoverflow.net/q/203953},
	year={2015},
	urldate={2018-08-30}
}

@incollection{cuntz_ktheory_cstar,
	AUTHOR = {Cuntz, Joachim},
	TITLE = {\K-theory and \Cstar-algebras},
	BOOKTITLE = {Algebraic \K-theory, number theory, geometry and analysis ({B}ielefeld, 1982)},
	SERIES = {Lecture Notes in Math.},
	VOLUME = {1046},
	PAGES = {55--79},
	PUBLISHER = {Springer},
	YEAR = {1984},
}
@article{janich_vektorraumbundel,
	title={\textgerman{Vektorraumbündel und der Raum der Fredholm-Operatoren}},
	author={Jänich, Klaus},
	journal={\textgerman{Mathematische Annalen}},
	volume={161},
	number={2},
	pages={129--142},
	year={1965},
	publisher={Springer},
}
@article{kuiper,
	AUTHOR = {Kuiper, Nicolaas H.},
	TITLE = {The homotopy type of the unitary group of {H}ilbert space},
	JOURNAL = {Topology},
	VOLUME = {3},
	YEAR = {1965},
	PAGES = {19--30},
	DOI = {10.1016/0040-9383(65)90067-4},
}
@article{Mingo,
	AUTHOR = {Mingo, J. A.},
	TITLE = {\K-theory and multipliers of stable \Cstar-algebras},
	FJOURNAL = {Transactions of the American Mathematical Society},
	VOLUME = {299},
	YEAR = {1987},
	NUMBER = {1},
	PAGES = {397--411},
	DOI = {10.2307/2000501},
}
@book{lance_hilbert,
	AUTHOR = {Lance, E. C.},
	TITLE = {Hilbert \Cstar-modules},
	SERIES = {London Mathematical Society Lecture Note Series},
	VOLUME = {210},
	NOTE = {A toolkit for operator algebraists},
	PUBLISHER = {Cambridge University Press, Cambridge},
	YEAR = {1995},
	PAGES = {x+130},
	DOI = {10.1017/CBO9780511526206},
}
@article{palmer_real,
	AUTHOR = {Palmer, T. W.},
	TITLE = {Real \Cstar-algebras},
	JOURNAL = {Pacific Journal of Mathematics},
	VOLUME = {35},
	YEAR = {1970},
	PAGES = {195--204},
	URL = {https://projecteuclid.org/euclid.pjm/1102971799},
	urldate={2018-07-27}
}
@unpublished{paravicini_KKproduct,
	title={The Kasparov Product},
	author={Walther Paravicini},
	year={2009},
	howpublished={Revised talk notes, part of a lecture course \emph{Introduction to \KK-Theory} for the \emph{Focused Semester on KK-Theory and its Applications}, University of Münster},
	url={https://ivv5hpp.uni-muenster.de/u/echters/Focused-Semester/Paravicini.html},
	urldate={2018-07-28}
}
@article {markert_connc_ko,
	AUTHOR = {Markert, Elke K.},
	TITLE = {Field theory configuration spaces for connective {$ko$}-theory},
	JOURNAL = {Algebraic \& Geometric Topology},
	VOLUME = {10},
	YEAR = {2010},
	NUMBER = {2},
	PAGES = {1187--1219},
	DOI = {10.2140/agt.2010.10.1187},
}
@article{joachim_k-hom_sym_spec,
	AUTHOR = {Joachim, Michael},
	TITLE = {\K-homology of \Cstar-categories and symmetric spectra representing \K-homology},
	JOURNAL = {\textgerman{Mathematische Annalen}},
	VOLUME = {327},
	YEAR = {2003},
	NUMBER = {4},
	PAGES = {641--670},
	DOI = {10.1007/s00208-003-0426-9},
	publisher={Springer}
}

@article{joachim_symmetric_KO,
	AUTHOR = {Joachim, Michael},
	TITLE = {A symmetric ring spectrum representing \KO-theory},
	JOURNAL = {Topology},
	VOLUME = {40},
	YEAR = {2001},
	NUMBER = {2},
	PAGES = {299--308},
	MRNUMBER = {1808222},
	DOI = {10.1016/S0040-9383(99)00063-4},
}

@article{boersema_real,
	author = {Boersema, Jeffrey L. and Loring, Terry A. and Ruiz, Efren},
	doi = {10.1215/17358787-3163312},
	journal = {Banach Journal of Mathematical Analysis},
	month = {01},
	number = {1},
	pages = {27--47},
	publisher = {Duke University Press},
	title = {Pictures of \KK-theory for real \Cstar-algebras and almost commuting matrices},
	volume = {10},
	year = {2016}
}
@Inbook{Higson_guentner,
	author={Higson, Nigel and Guentner, Erik},
	title={Group \Cstar-Algebras and \K-Theory},
	bookTitle={Noncommutative Geometry: Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 3-9, 2000},
	year={2004},
	publisher={Springer},
	pages={137--251},
	doi={10.1007/978-3-540-39702-1_3},
	url={http://personal.psu.edu/ndh2/math/Papers.html}
}
@online{browne_real_bott,
	title={A Bott periodicity proof for real graded \Cstar-algebras},
	author={Browne, Sarah Louise},
	note={preprint},
	year={2017},
	eprinttype={arxiv},
	eprint={1611.09887},
	version={2},
	note={Based on the authors PhD-thesis \cite{browne_thesis}}
}
@thesis{browne_thesis,
	author={Browne, Sarah Louise},
	title={\Ee-theory Spectra},
	note={PhD-thesis},
	url={https://etheses.whiterose.ac.uk/17812/},
	urldate={2018-08-23},
	year={2017}
}

@online{markert_gaudens,
	title={An Operator model for connective \K-theory with reality},
	author={Gérald Gaudens and Elke Markert},
	note={preprint},
	year={2013},
	eprinttype={arxiv},
	eprint={1307.3143},
	version={1}
}

@article{segal_categories,
  title={Categories and cohomology theories},
  author={Segal, Graeme},
  journal={Topology},
  volume={13},
  number={3},
  pages={293--312},
  year={1974},
  publisher={Elsevier},
  doi={10.1016/0040-9383(74)90022-6},
  MRNUMBER = {0353298}
}

@incollection{HST,
	AUTHOR = {Hohnhold, Henning and Stolz, Stephan and Teichner, Peter},
	TITLE = {From minimal geodesics to supersymmetric field theories},
	BOOKTITLE = {A celebration of the mathematical legacy of {R}aoul {B}ott},
	SERIES = {CRM Proc. Lecture Notes},
	VOLUME = {50},
	PAGES = {207--274},
	PUBLISHER = {Amer. Math. Soc., Providence, RI},
	YEAR = {2010},
}

@incollection{stolz_teichner_elliptic,
	author={Stolz, Stephan and Teichner, Peter},
	title={What is an elliptic object?},
	booktitle={Topology, geometry and quantum field theory},
	series={London Math. Soc. Lecture Note Ser.},
	volume={308},
	pages={247--343},
	publisher={Cambridge Univ. Press, Cambridge},
	year={2004},
	mrnumber={2079378},
	doi={10.1017/CBO9780511526398.013},
}

@unpublished{rudi,
	author={Rudolf Zeidler},
	title={Coarse Index Theory},
	year={2017},
	howpublished={\LaTeX-Lectures notes taken by Jannes Bantje (partially incomplete, not proofread)},
	url={https://gitlab.com/JaMeZ-B/LaTeX-WWU/-/jobs/artifacts/master/raw/CoarseIndex_WS17/coarse_index_theory.pdf?job=build_deploy_all},
	institution={University of Münster}
}

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@article{rudi_JoTopo,
    author = {Zeidler, Rudolf},
     title = {Positive scalar curvature and product formulas for secondary index invariants},
   journal = {Journal of Topology},
    volume = {9},
      year = {2016},
    number = {3},
     pages = {687--724},
       doi = {10.1112/jtopol/jtw005},
}

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@unpublished{roe_lecture,
	author={John Roe},
	title={Lectures on K-theory and operator algebras},
	year={2018},
	howpublished={posted on AMS Open Math Notes},
	url={https://www.ams.org/open-math-notes/omn-view-listing?listingId=110719},
	urldate={2018-08-21}
}

@article{connes_higson_1990,
	AUTHOR = {Connes, Alain and Higson, Nigel},
	TITLE = {Déformations, morphismes asymptotiques et \K-théorie bivariante},
	JOURNAL = {Comptes Rendus de l'Académie des Sciences. Série I. Mathématique},
	VOLUME = {311},
	YEAR = {1990},
	NUMBER = {2},
	PAGES = {101--106},
	MRNUMBER = {1065438},
}

@article{Meyer_equi_kasparov,
	author={Meyer, Ralf},
	title={Equivariant {K}asparov theory and generalized homomorphisms},
	journal={$K$-Theory},
	volume={21},
	year={2000},
	number={3},
	pages={201--228},
	mrnumber={1803228},
	doi={10.1023/A:1026536332122},
	eprinttype={arxiv},
	eprint={math/0001094},
}
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@unpublished{WilletYu,
	author={Rufus Willet and Guoliang Yu},
	title={Higher index theory},
	year={2019},
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	version={9th of Decembre},
	howpublished={book draft \enquote{more-or-less a complete first draft}},
	url={https://math.hawaii.edu/~rufus/higherindextheory},
	urldate={2020-03-03}
880
}
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@article{HigsonRoe_eta,
	author = {Higson, Nigel and Roe, John},
	title = {{$K$}-homology, assembly and rigidity theorems for relative eta invariants},
	journal = {Pure and Applied Mathematics Quarterly},
	volume = {6},
	year = {2010},
	number = {2, Special Issue: In honor of Michael Atiyah and Isadore Singer},
	doi = {10.4310/PAMQ.2010.v6.n2.a11},
}

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@book{milnor_stasheff,
	author = {Milnor, John W. and Stasheff, James D.},
	title = {Characteristic classes},
	note = {Annals of Mathematics Studies, No. 76},
	publisher = {Princeton University Press, Princeton, N. J.; University of Tokyo Press, Tokyo},
	year = {1974},
}