Chern character for totally disconnected groups
K-Theory and Homology
2007-05-23 v1
Abstract
In this paper we construct a bivariant Chern character for the equivariant KK-theory of a totally disconnected group with values in bivariant equivariant cohomology in the sense of Baum and Schneider. We prove in particular that the complexified left hand side of the Baum-Connes conjecture for a totally disconnected group is isomorphic to cosheaf homology. Moreover, it is shown that our transformation extends the Chern character defined by Baum and Schneider for profinite groups.
Keywords
Cite
@article{arxiv.math/0608626,
title = {Chern character for totally disconnected groups},
author = {Christian Voigt},
journal= {arXiv preprint arXiv:math/0608626},
year = {2007}
}
Comments
27 pages