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Jannes Bantje
differential-operators
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b5213bd1
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b5213bd1
authored
Jun 08, 2020
by
Jannes Bantje
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fix typo
parent
dd3a585b
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#60140
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contents/coarse.tex
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b5213bd1
...
...
@@ -1183,7 +1183,7 @@ For the classifying space of proper $G$-actions $\properE G$ we have:
Let
$
G
$
be a countable discrete group and
$
\properE
G
$
a classifying space for proper actions for
$
G
$
.
Then the Baum--Connes assembly map for
$
G
$
identifies with the map
\[
\lim
_{
Y
\subseteq
\properE
G
}
\K
^
G
_
*
\enbrace
*
{
\poperE
G
}
\To
{
\mu
_{
\properE
G
}}
\K
_
*
\enbrace
*
{
\RoeAlg
(
G
)
^
G
}
\lim
_{
Y
\subseteq
\properE
G
}
\K
^
G
_
*
\enbrace
*
{
\p
r
operE
G
}
\To
{
\mu
_{
\properE
G
}}
\K
_
*
\enbrace
*
{
\RoeAlg
(
G
)
^
G
}
\]
which is the direct limit over all assembly maps
$
\mu
_{
Y,G
}
\colon
\K
^
G
_
*(
Y
)
\to
\K
_
*
\enbrace
*
{
\RoeAlg
(
G
)
^
G
}$
, where
$
Y
\subseteq
\properE
G
$
is a proper cocompact subset.
\end{theorem}
...
...
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