The Baum-Connes assembly map and the generalized Bass conjecture

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We show that the image of Connes-Karoubi-Chern character, restricted to the image of the Baum-Connes assembly map in the Bott-periodized topological K-theory of the complex group algebra, lies in the elliptic summand of the (periodic) cyclic homology of the group algebra. This implies that for any (weighted) ell-1 completion of the group algebra, rational surjectivity of the Baum-Connes assembly map implies the generalized Bass conjecture for that algebra.
5 pages

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K-Theory and Homology, 46L80

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http://salesiana.dossiersoluciones.com/handle/123456789/134984

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0707.3655
 http://arxiv.org/abs/0707.3655

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arXiv