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math.OA2026
Classification of representations of higher-rank graph C*-algebras
Arnaud Brothier, Aidan Sims, Dilshan Wijesena
We develop new techniques for the construction and classification of representations of row-finite and locally convex higher-rank graph C*-algebras O. This class includes Cuntz--Kr…
math.OA2024
A tensor product for representations of the Cuntz algebra and of the R. Thompson groups
Arnaud Brothier, Dilshan Wijesena
The authors continue a series of articles studying certain unitary representations of the Richard Thompson groups called Pythagorean. They all extend to the Cuntz algebra $…
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…