arXiv 0711.21522007-11math.KTmath.OA

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

Paul D. Mitchener

英文摘要：

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.

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