Frontiers in Mathematical Sciences
University of Isfahan - January 1-3, 2020
Representation rigidity of subgroups and $C^\star$-algebras of quasi-regular representationsSpeaker:
Mehrdad Kalantar, University of Houston
Date, Time, and Venue: Friday, January 3 | 08:30-09:15 | Hall 1Abstract:
We introduce several equivalence relations on the set of subgroups of a countable group $G$, defined in terms of the quasi-regular representations, and present some rigidity results in terms of those equivalence relations for certain classes of subgroups. Furthermore, we give some results concerning the ideal structure of the $C^\star$-algebras generated by the quasi-regular representations. This is joint work with Bachir Bekka.