37 citations · 104 across the 27 of their papers we have counts for
4 papers · 1 filter
Representations of the infinite Cuntz algebra
David. E. Evans, Arnaud Brothier
We define an intrinsic unital completely positive (ucp) map from the Cuntz algebra to the Pythagorean with finitely many generators. This permits to lift states and cyclic represen…
The Cuntz-Pimsner algebra of the simplest Motzkin subproduct system is 2-subhomogeneous
Valeriano Aiello, Arnaud Brothier
The Motzkin subproduct system (SPS) is constructed from the Jones Wenzl idempotents of the Motzkin algebras, which generalizes the Temperley Lieb SPS. The simplest Motzkin SPS, whi…
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…