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

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

2001-07-06

arxiv.org/abs/math/0107050v1

Mathematics

Operator Algebras

35 pages. To appear in J. Functional Analysis

Scientific paper

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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