English

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

Group Theory 2022-03-10 v3 Representation Theory

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.

Keywords

Cite

@article{arxiv.2106.05730,
  title  = {Unitary representations of totally disconnected locally compact groups satisfying Ol'shanskii's factorization},
  author = {Lancelot Semal},
  journal= {arXiv preprint arXiv:2106.05730},
  year   = {2022}
}

Comments

80 pages