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20222026
most citedIrreducible Pythagorean representations of R. Thompson's groups and of the Cuntz algebra

4 citations · 6 across the 7 of their papers we have counts for

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math.GR2024★ 1 cited

Atomic representations of R. Thompson's groups and Cuntz's algebra

Arnaud Brothier, Dilshan Wijesena

We continue to study Pythagorean unitary representation of Richard Thompson's groups and their extension to the Cuntz(-Dixmier) algebra. Any linear isometry from a Hilbert…

math.GR2023

Decomposition of Pythagorean representations of R. Thompson's groups

Arnaud Brothier, Dilshan Wijesena

We continue to study Pythagorean unitary representation of Richard Thompson's groups , and that are built from a single isometry from a Hilbert space to its double. By d…

math.GR2022★ 1 cited

Jones' representations of R. Thompson's groups not induced by finite-dimensional ones

Arnaud Brothier, Dilshan Wijesena

Given any linear isometry from a Hilbert space to its square one can explicitly construct a so-called Pythagorean unitary representation of Richard Thompson's group F. We introduce…