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Permanence properties of the Baum-Connes conjecture.

Chabert, Jérôme; Echterhoff, Siegfried — 2001

Documenta Mathematica

The Connes-Kasparov conjecture for almost connected groups and for linear $p$ -adic groups

Jérôme Chabert; Siegfried Echterhoff; Ryszard Nest — 2003

Publications Mathématiques de l'IHÉS

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. The same is shown for the groups of -rational points of any linear algebraic group over a local field of characteristic zero.

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Currently displaying 1 – 2 of 2

Permanence properties of the Baum-Connes conjecture.

The Connes-Kasparov conjecture for almost connected groups and for linear p -adic groups

The Connes-Kasparov conjecture for almost connected groups and for linear $p$ -adic groups