20 02 the Connes - Kasparov Conjecture for Almost Connected Groups
نویسنده
چکیده
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.
منابع مشابه
K-théorie Bivariante Pour Les Algèbres De Banach, Groupoïdes Et Conjecture De Baum–connes. Avec Un Appendice D’hervé Oyono-oyono
We construct a KK-theory for Banach algebras, equivariant with respect to the action of a groupoid. We prove the Baum–Connes conjecture with commutative coefficients for hyperbolic groups and for the Poincaré groupoids of foliations with a compact base and a longitudinal Riemannian metrics with negative sectional curvature. Mots clés : théorie de Kasparov ; conjecture de Baum–Connes ; algèbres ...
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