Unitary representations of totally disconnected locally compact groups satisfying Ol'shanskii's factorization

Abstract: We provide a new axiomatic framework, inspired by the work of Ol'shanskii, to describe explicitly certain irreducible unitary representations of second-countable non-discrete unimodular totally disconnected locally compact groups. We show that this setup applies to various families of automorphism groups of locally finite semiregular trees and right-angled buildings.

The talk is based on material presented in arxiv.org/abs/2106.05730

group theory

Audience: researchers in the discipline

Symmetry in Newcastle