KK-theory spectra for C^∗-categories and discrete groupoid C^∗-algebras

2007/11/14 by Mitchener, Paul D.
#19K35 #FOS: Mathematics #K-Theory and Homology (math.KT) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.0711.2152

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^∗-categories and discrete groupoid C^∗-algebras. In both cases, the Kasparov product can be expressed as a smash product of spectra.

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