5 research outputs found
Poisson boundary of the discrete quantum group A_u(F)^
No full textWe identify the Poisson boundary of the dual of the universal compact quantum group Au(F) with a measurable field of ITPFI (infinite tensor product of finite type I) factors.sponsorship: Department of Mathematics, K.U.Leuven, Belgiumstatus: Publishe
Identification of the Poisson and Martin boundaries of orthogonal discrete quantum groups
No full textThe 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.status: Publishe
