Unitary representations of totally disconnected locally compact groups satisfying Ol′šhanskiĭ’s factorisation

Semal, Lancelot

doi:10.1090/ert/637

Unitary representations of totally disconnected locally compact groups satisfying Ol′šhanskiĭ’s factorisation
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by Lancelot Semal;

Represent. Theory 27 (2023), 356-414

DOI: https://doi.org/10.1090/ert/637

Published electronically: June 28, 2023

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Abstract:

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

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Representation Theory

Unitary representations of totally disconnected locally compact groups satisfying Ol′šhanskiĭ’s factorisation
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Abstract: