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The Fine Structure Of The Kasparov Groups I: Continuity Of The Kk-Pairing, Claude Schochet
The Fine Structure Of The Kasparov Groups I: Continuity Of The Kk-Pairing, Claude Schochet
Mathematics Faculty Research Publications
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.