The $KH$-Isomorphism Conjecture and Algebraic $KK$-theory
K-Theory and Homology
2009-01-14 v2
Abstract
In this article we prove that the -asembly map, as defined by Bartels and L{\"u}ck, can be described in terms of the algebraic -theory of Cortinas and Thom. The -theory description of the -assembly map is similar to that of the Baum-Connes assembly map. In very elementary cases, methods used to prove the Baum-Connes conjecture also apply to the -isomorphism conjecture.
Cite
@article{arxiv.0711.2181,
title = {The $KH$-Isomorphism Conjecture and Algebraic $KK$-theory},
author = {Paul D. Mitchener},
journal= {arXiv preprint arXiv:0711.2181},
year = {2009}
}