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Identification of the Poisson and Martin boundaries of orthogonal discrete quantum groups

Stefaan Vaes·Nikolas Vander Vennet
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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.

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Stefaan Vaes, Nikolas Vander Vennet. 2006-05-17. Identification of the Poisson and Martin boundaries of orthogonal discrete quantum groups. https://arxiv.org/abs/math/0605489

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