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arXiv · 2106.05730

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

Lancelot Semal
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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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Lancelot Semal. 2021-06-10. Unitary representations of totally disconnected locally compact groups satisfying Ol'shanskii's factorization. https://arxiv.org/abs/2106.05730

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