Identification of the Poisson and Martin boundaries of orthogonal discrete quantum groups
Operator Algebras
2008-03-04 v1 Dynamical Systems
Abstract
The Poisson and Martin boundaries for invariant random walks on the dual of the orthogonal quantum groups A_o(F), are identified with higher dimensional Podles spheres that we describe in terms of generators and relations. This provides the first such identification for random walks on non-amenable discrete quantum groups.
Keywords
Cite
@article{arxiv.math/0605489,
title = {Identification of the Poisson and Martin boundaries of orthogonal discrete quantum groups},
author = {Stefaan Vaes and Nikolas Vander Vennet},
journal= {arXiv preprint arXiv:math/0605489},
year = {2008}
}