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

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

2007-11-14

arxiv.org/abs/0711.2152v2

Mathematics

K-Theory and Homology

Scientific paper

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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