Analysis Seminar

Wednesday, March 16, 2022 4:00 pm - 4:00 pm EDT

Benjamin Anderson-Sackaney, Department of Pure Mathematics, University of Waterloo

"Quantum Subgroups and Traces"

A landmark result for the tracial structure of reduced C*-algebras of discrete groups is a group dynamical description of the unique trace property, which states that the unique trace property is equivalent to faithfulness of the Furstenberg boundary action, achieved by Breillard, Kalantar, Kennedy, and  Ozawa '17. A related characterization of C*-simplicity achieved by Kalantar and Kennedy '14 sheds light on the relationship between C*-simplicity and the unique trace property, which shows that the unique trace property is implied by C*-simplicity. We will talk about a generalization of these results for discrete quantum groups, which entails a discussion on quantum subgroups, and a duality result for (co)-amenability of quantum subgroups.

This seminar will be held jointly online and in person: