Identification of the Poisson and Martin boundaries of orthogonal discrete quantum groups
Stefaan Vaes, Nikolas Vander Vennet
Abstract
The Poisson and Martin boundaries for invariant random walks on the dual of the orthogonal quantum groups Ao(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.
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