A Geometric Description of Equivariant K-Homology for Proper Actions
K-Theory and Homology
2012-10-12 v1 Geometric Topology
Abstract
Let G be a discrete group and let X be a G-finite, proper G-CW-complex. We prove that Kasparov's equivariant K-homology groups KK^G(C_0(X),\C) are isomorphic to the geometric equivariant K-homology groups of X that are obtained by making the geometric K-homology theory of Baum and Douglas equivariant in the natural way. This reconciles the original and current formulations of the Baum-Connes conjecture for discrete groups.
Keywords
Cite
@article{arxiv.0907.2066,
title = {A Geometric Description of Equivariant K-Homology for Proper Actions},
author = {Paul Baum and Nigel Higson and Thomas Schick},
journal= {arXiv preprint arXiv:0907.2066},
year = {2012}
}
Comments
33 pages, 1 figure, pdflatex