Actions of monoidally equivalent compact quantum groups and applications to probabilistic boundaries
Operator Algebras
2011-11-09 v3
Abstract
Bichon, De Rijdt and Vaes introduced the notion of monoidally equivalent compact quantum groups. In this paper we prove that there is a natural bijective correspondence between actions of monoidally equivalent quantum groups on unital C*-algebras or on von Neumann algebras. We apply this correspondence to study the behavior of Poisson and Martin boundaries under monoidal equivalence of quantum groups.
Keywords
Cite
@article{arxiv.math/0611175,
title = {Actions of monoidally equivalent compact quantum groups and applications to probabilistic boundaries},
author = {An De Rijdt and Nikolas Vander Vennet},
journal= {arXiv preprint arXiv:math/0611175},
year = {2011}
}
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31 pages