Permanence properties of the Baum-Connes conjecture.
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Documenta Mathematica
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Chabert, Jérôme, Echterhoff, Siegfried (2001)
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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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