Random unitaries in non-commutative tori, and an asymptotic model for q-circular systems
James A. Mingo, Alexandru Nica
Abstract
We consider the concept of a q-circular system, which is a deformation of the circular system from free probability, taking place in the framework of the so-called 'q-commutation relations'. We show that certain averages of random unitaries in non-commutative tori behave asymptotically like a q-circular system.
Create a lesson
Related papers
The generator problem for C*-algebras with comparison
Ben Bouwen, Jorge Castillejos, Jakub Curda
Actions of Fell bundles, II: tensor products and Fourier-Stieltjes algebras
Erik Bédos, Roberto Conti
A note on purely infinite extensions
Ping Wong Ng, Cangyuan Wang
Wiener's lemma for quasicrystals: hull-uniform decay of covariant kernels on Delone sets
Diego Jaure
Homotopies of constant Cuntz classes in pure C*-algebras
Chrisil Ouseph, Andrew S. Toms
Mean dimension and radius of comparison
George A. Elliott, Zhuang Niu