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.
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 language | English |
|---|---|
| Pages (from-to) | 391-412 |
| Number of pages | 23 |
| Journal | Journal of the Institute of Mathematics of Jussieu |
| Volume | 7 |
| Issue number | 2 |
| Publication status | Published - 2007 |