Pythagorean representations of Thompson's groups

DOI10.1016/j.jfa.2019.02.009OpenAlexW2884263864WikidataQ128374924 ScholiaQ128374924MaRDI QIDQ2316811

Arnaud Brothier, Vaughan F. R. Jones

Publication date: 7 August 2019

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.06215

zbMATH Keywords

representationsThompson's groupC*-algebras

Mathematics Subject Classification ID

Group theory and generalizations (20-XX) Number theory (11-XX)

Related Items (14)

Jones Representations of Thompson’s GroupFArising from Temperley–Lieb–Jones Algebras ⋮ Classification of Thompson related groups arising from Jones' technology II ⋮ On the oriented Thompson subgroup F→3 and its relatives in higher Brown–Thompson groups ⋮ Operator-algebraic construction of gauge theories and Jones' actions of Thompson's groups ⋮ Unnamed Item ⋮ Haagerup property for wreath products constructed with Thompson's groups ⋮ On the \(3\)-colorable subgroup \(\mathcal{F}\) and maximal subgroups of Thompson's group \(F\) ⋮ Subfactors and mathematical physics ⋮ The action of the Thompson group \(F\) on infinite trees ⋮ Markovianity and the Thompson monoid \(F^+\) ⋮ On spectral measures for certain unitary representations of R. Thompson's group F ⋮ Representations of Higman-Thompson groups from Cuntz algebras ⋮ Irreducibility of the wysiwyg representations of Thompson's groups ⋮ Markovianity and the Thompson group \(F\)

Cites Work

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• Nonfree actions of countable groups and their characters
• Finite factor representations of Higman-Thompson groups.
• Some unitary representations of Thompson's groups \(F\) and \(T\)
• An example of a generalized Brownian motion
• C*-algebras associated with irrational rotations
• \(C^*\)-algebras generated by elements of a unitary matrix
• Simple \(C^*\)-algebras generated by isometries
• Introductory notes on Richard Thompson's groups
• The representation theory of affine Temperley-Lieb algebras
• Interpolations between bosonic and fermionic relations given by generalized Brownian motions
• On the Haagerup and Kazhdan properties of R. Thompson's groups
• A no-go theorem for the continuum limit of a periodic quantum spin chain
• On the stabilizers of finite sets of numbers in the R. Thompson group $F$
• Noncommutative manifolds, the instanton algebra and isospectral deformations

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