An introduction to the classification of C*-algebras

Abstract: I will give an expository talk about the C*-algebra classification program. In recent years, the following classification theorem was established after years of work by many authors:

Theorem: Let A and B be simple, separable, nuclear C*-algebras which tracially absorb the Jiang-Su algebra and satisfy the UCT. Then an isomorphism of the Elliott Invariants of A and B can be lifted to a *-isoomorphism of A and B.

I will explain the terms in the theorem, and discuss how everything fits together.

mathematical physicsalgebraic topologydifferential geometryrepresentation theorystatistics theory

Audience: researchers in the topic

( video )

---

Prague-Hradec Kralove seminar Cohomology in algebra, geometry, physics and statistics

Series comments: Virtual coffee starts on Zoom already 15 minutes before the seminar.

---