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math.OA2023★ 4 cited
Irreducible Pythagorean representations of R. Thompson's groups and of the Cuntz algebra
Arnaud Brothier, Dilshan Wijesena
We introduce the Pythagorean dimension: a natural number (or infinity) for all representations of the Cuntz algebra and certain unitary representations of the Richard Thompson grou…
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…