The Baum-Connes Conjecture for KK-theory

Details The Baum-Connes Conjecture for KK-theory The Baum-Connes Conjecture for KK-theory

2004-03-30

arxiv.org/abs/math/0403511v4

J. K-Theory 8 (2011), 3-29

Mathematics

K-Theory and Homology

v2: major rewrite based on new development v3: 23 pages, to appear in Journal of K-theory

Scientific paper

10.1017/is010003012jkt114

We define and compare two bivariant generalizations of the topological
$K$-group $K^\top(G)$ for a topological group $G$. We consider the Baum-Connes
conjecture in this context and study its relation to the usual Baum-Connes
conjecture.

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