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

Jérôme ChabertSiegfried EchterhoffRyszard 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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