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Representations of Thompson groups from Cuntz algebras

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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 O 2 .… Click to show full abstract

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 O 2 . 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.

Keywords: thompson groups; cuntz algebras; groups cuntz; representations thompson

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2019

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