Noncommutative Geometry Seminar

Date: April 27, 2023

Time: 4:00PM - 5:00PM

Location: BLOC 302

Speaker: Koichi Oyakawa, Vanderbilt University

Title: Bi-exactness of relatively hyperbolic groups

Abstract: Bi-exactness is an analytic property of groups defined by Ozawa and of fundamental importance to the study of operator algebras. In this talk, I will show that finitely generated relatively hyperbolic groups are bi-exact if and only if all peripheral subgroups are bi-exact. This is a generalization of Ozawa's result which claims that finitely generated relatively hyperbolic groups are bi-exact if all peripheral subgroups are amenable.