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

Claude Schochet
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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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Claude Schochet. 2001-07-06. The fine structure of the Kasparov groups I: continuity of the KK-pairing. https://arxiv.org/abs/math/0107050

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