Poisson boundary of the discrete quantum group A_u(F)^

Abstract

We identify the Poisson boundary of the dual of the universal compact quantum group A_u(F) with a measurable field of ITPFI factors.

References in corpus (3)

• Ergodic coactions with large multiplicity and monoidal equivalence of quantum groups
• A Characterization of right coideals of quotient type and its application to classification of Poisson boundaries
• Poisson boundary of the dual of SUq(n)

Cited by in corpus (6)

• Unique prime factorization and bicentralizer problem for a class of type III factors
• Noncommutative Furstenberg boundary
• Realization of quantum group Poisson boundaries as crossed products
• Noncommutative Poisson boundaries and Furstenberg-Hamana boundaries of Drinfeld doubles
• Martin boundaries of the duals of free unitary quantum groups
• Probabilistic boundaries of finite extensions of quantum groups