The Fine Structure of the Kasparov Groups I: Continuity of the KK-Pairing

✍ Scribed by Claude L Schochet

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 217 KB
• Volume: 186
• Category: Article
• ISSN: 0022-1236
• DOI: 10.1006/jfan.2001.3784

✦ Synopsis

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.