An Introduction to K-homology and KK-theory (Lecture 5)
Ryszard Nest  (University of Copenhagen)
15:30-17:00, May 18, 2022   Zoom Meeting ID: 614 9918 4088 (Passcode: 646373)
Abstract:
Part I. An introduction to K-homology:
1. Definitions, K-homology and extensions,
2. Technical theorems (Stinespring, Voiculescu Weyl-von Neumann, Kasparov technical theorem), the technology of essential representations,
3. Paschke duality, excision and Bott periodicity,
4. BDF theory.
Part II. An introduction to KK-theory:
1. Basic definitions and properties of KK-functors,
2. Kasparov product (Cuntz and Connes-Skandalis pictures),
3. Group actions and assembly map, γ-element,
4. Homological algebra in KK, UCT revisited and strong Baum-Connes conjecture.
About the speaker:
Attachments: