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Mathematics > K-Theory and Homology

arXiv:0711.2181 (math)
[Submitted on 14 Nov 2007 (v1), last revised 14 Jan 2009 (this version, v2)]

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

Authors: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.
Subjects: K-Theory and Homology (math.KT)
MSC classes: 19D35; 19K35
Cite as: arXiv:0711.2181 [math.KT]
  (or arXiv:0711.2181v2 [math.KT] for this version)
  https://doi.org/10.48550/arXiv.0711.2181

Submission history

From: Paul David Mitchener [view email]
[v1] Wed, 14 Nov 2007 12:24:10 UTC (34 KB)
[v2] Wed, 14 Jan 2009 13:12:54 UTC (27 KB)
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