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

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

2006-05-17

arxiv.org/abs/math/0605489v1

Journal of the Institute of Mathematics of Jussieu, Vol 7 (2008), 391-412.

Mathematics

Operator Algebras

Scientific paper

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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