Article

Representations of Thompson groups from Cuntz algebras

Journal of Mathematical Analysis and Applications

Miguel Barata; Paulo R. Pinto — 2019

Key information

Authors:

Miguel Barata (Miguel Lourenço Henriques Barata); Paulo R. Pinto (Paulo R. Pinto)

Published in

October 2019

Abstract

We associate a representation of the Thompson group V (and thus of F and T by considering the restriction) to every representation of the Cuntz algebra O2. The well-developed theory of representations of the Cuntz algebras leads us to exhibit an uncountable family of unitary representations of V which are pairwise non equivalent, and two others for F and T.

Publication details

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Publication version

AM - Accepted manuscript

Title of the publication container

Journal of Mathematical Analysis and Applications

First page or article number

212

Last page

228

Volume

478

Issue

1

DOI

10.1016/j.jmaa.2019.05.028

Fields of Science and Technology (FOS)

mathematics - Mathematics

Publication language (ISO code)

eng - English

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