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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/162296In 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.K-Theory and HomologyOperator Algebras19K35$KK$-theory spectra for $C^\ast$-categories and discrete groupoid $C^\ast$-algebrastext