ΕΚΔΗΛΩΣΕΙΣ

FUNCTIONAL ANALYSIS AND OPERATOR ALGEBRAS - ANOMALOUS SYMMETRIES OF C*-ALGEBRAS

Παρασκευή 04 Ιουνίου 2021
Functional Analysis and Operator Algebras - Anomalous symmetries of C*-algebras

Title: Anomalous symmetries of C*-algebras
Speaker:Corey Jones (North Carolina State University, USA)

Friday, June 4, 16:00 Athens time (UTC+3)

Abstract: Given a discrete group G and a U(1)-valued 3-cocycle w, an anomalous action on a C*-algebra is a generalization of a cocycle action of G, where the cocycle equations "hold up to w".
We will describe some obstructions to the existence of anomalous actions on commutative C*-algebras, and show for every n>1 and every finite group G, every anomaly can be realized on the stabilization of a commutative C*-algebra of continuous functions on some closed connected n-manifold M.
We also show that although there are no anomalous symmetries of Roe C*-algebras of coarse spaces, for every finite group G, every anomaly can be realized on the Roe corona of some bounded geometry metric space X with property A.

For Zoom meeting coordinates and additional information see the seminar webpage

users.uoa.gr/~akatavol/anak2021.html