The fine structure of the Kasparov groups I: continuity of the KK-pairing

2001/07/06 by Schochet, Claude
#19K35 #46L80 #47A66 (Primary) 19K56 (Secondary) #FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.math/0107050

Abstract

In this paper it is demonstrated that the Kasparov pairing is continuous with respect to the natural topology on the Kasparov groups, so that a KK-equivalence is an isomorphism of topological groups. In addition, we demonstrate that the groups have a natural pseudopolonais structure, and we prove that various KK-structural maps are continuous.

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