3 papers
math.OA2026
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…
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.RT2024
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…