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Mathematics > K-Theory and Homology

arXiv:0711.2152 (math)
[Submitted on 14 Nov 2007 (v1), last revised 6 Jun 2008 (this version, v2)]

Title:$KK$-theory spectra for $C^\ast$-categories and discrete groupoid $C^\ast$-algebras

Authors:Paul D. Mitchener
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Abstract: In this paper we refine a version of bivariant $K$-theory developed by Cuntz to define symmetric spectra representing the $KK$-theory of $C^\ast$-categories and discrete groupoid $C^\ast$-algebras. In both cases, the Kasparov product can be expressed as a smash product of spectra.
Subjects: K-Theory and Homology (math.KT); Operator Algebras (math.OA)
MSC classes: 19K35
Cite as: arXiv:0711.2152 [math.KT]
  (or arXiv:0711.2152v2 [math.KT] for this version)
  https://doi.org/10.48550/arXiv.0711.2152

Submission history

From: Paul David Mitchener [view email]
[v1] Wed, 14 Nov 2007 10:39:43 UTC (18 KB)
[v2] Fri, 6 Jun 2008 12:30:22 UTC (20 KB)
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