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arXiv · 0711.2181

The $KH$-Isomorphism Conjecture and Algebraic $KK$-theory

Paul D. Mitchener
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Abstract

In this article we prove that the $KH$-asembly map, as defined by Bartels and L{ü}ck, can be described in terms of the algebraic $KK$-theory of Cortinas and Thom. The $KK$-theory description of the $KH$-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 $KH$-isomorphism conjecture.

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Paul D. Mitchener. 2009-01-14. The $KH$-Isomorphism Conjecture and Algebraic $KK$-theory. https://arxiv.org/abs/0711.2181

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