4 citations · 6 across the 7 of their papers we have counts for
7 papers
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…
Moduli of representations of Leavitt path algebras
Arnaud Brothier, Dilshan Wijesena
We transpose Jones' technology and the authors' C*-algebraic techniques to study representations of the Leavitt path algebra L (over an arbitrary row-finite graph) by using its qui…
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 $…
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…
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…
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…
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…