$KK$-theory spectra for $C^\ast$-categories and discrete groupoid $C^\ast$-algebras
K-Theory and Homology
2008-06-06 v2 Operator Algebras
Abstract
In this paper we refine a version of bivariant -theory developed by Cuntz to define symmetric spectra representing the -theory of -categories and discrete groupoid -algebras. In both cases, the Kasparov product can be expressed as a smash product of spectra.
Keywords
Cite
@article{arxiv.0711.2152,
title = {$KK$-theory spectra for $C^\ast$-categories and discrete groupoid $C^\ast$-algebras},
author = {Paul D. Mitchener},
journal= {arXiv preprint arXiv:0711.2152},
year = {2008}
}