The boundary of universal discrete quantum groups, exactness and factoriality
Operator Algebras
2007-09-25 v3 Quantum Algebra
Abstract
We study the C*-algebras and von Neumann algebras associated with the universal discrete quantum groups. They give rise to full prime factors and simple exact C*-algebras. The main tool in our work is the study of an amenable boundary action, yielding the Akemann-Ostrand property. Finally, this boundary can be identified with the Martin or the Poisson boundary of a quantum random walk.
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Cite
@article{arxiv.math/0509706,
title = {The boundary of universal discrete quantum groups, exactness and factoriality},
author = {Stefaan Vaes and Roland Vergnioux},
journal= {arXiv preprint arXiv:math/0509706},
year = {2007}
}
Comments
Correction in postal adress