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The Connes-Kasparov conjecture for almost connected groups

Jerome Chabert·Siegfried Echterhoff·Ryszard Nest
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Abstract

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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Jerome Chabert, Siegfried Echterhoff, Ryszard Nest. 2002-01-22. The Connes-Kasparov conjecture for almost connected groups. https://arxiv.org/abs/math/0110130

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