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

2021/06/10 by Semal, Lancelot
#20E08 #22D12 #51E24 #57M07 #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2106.05730

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.

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