4 papers · 1 filter
A new perspective on spectra of quantum spaces
Arnaud Brothier
We consider a class of C*-algebras C(X) associated with quantum spaces such as spheres, projective spaces, and lens spaces. We introduce a non-self-adjoint operator algebra A toget…
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…
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 $…
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…