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

Abstract

Inspired by Ol'shanskii's work, we provide an axiomatic framework to describe certain irreducible unitary representations of non-discrete unimodular totally disconnected locally compact groups. We then look at the applications to certain groups of automorphisms of locally finite trees and semi-regular right-angled buildings.

80 pages