The Connes-Kasparov conjecture for almost connected groups

Details The Connes-Kasparov conjecture for almost connected groups The Connes-Kasparov conjecture for almost connected groups

2001-10-12

arxiv.org/abs/math/0110130v2

Mathematics

Operator Algebras

29 pages

Scientific paper

Let $G$ be a locally compact group with cocompact connected component. We
prove that the assembly map from the topological $\k$-theory of $G$ to the
$\k$-theory of the reduced $C^*$-algebra of $G$ is an isomorphism.

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