Identification of the Poisson and Martin Boundaries of Orthogonal Discrete Quantum Groups

Stefaan Vaes, Nikolas Vander Vennet

Research output: Contribution to journalArticlepeer-review

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 Podle´s 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.
Original languageEnglish
Pages (from-to)391-412
Number of pages23
JournalJournal of the Institute of Mathematics of Jussieu
Volume7
Issue number2
Publication statusPublished - 2007

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