The Baum-Connes assembly map and the generalized Bass conjecture
K-Theory and Homology
2007-07-26 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0707.3655,
title = {The Baum-Connes assembly map and the generalized Bass conjecture},
author = {C. Ogle},
journal= {arXiv preprint arXiv:0707.3655},
year = {2007}
}
Comments
5 pages