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The Fine Structure of the Kasparov Groups II: Topologizing the UCT

โœ Scribed by Claude L. Schochet


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
255 KB
Volume
194
Category
Article
ISSN
0022-1236

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The Fine Structure of the Kasparov Group
โœ Claude L Schochet ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 217 KB

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 t