Add to ORKGWe study the C∗-algebras and von Neumann algebras associated with the universal discrete quantum groups. They give rise to full prime factors and simple exact C∗-algebras. The main tool in our work is the study of an amenable boundary action, yielding the Akemann-Ostrand property. Finally, this boundary can be identified with the Martin or the Poisson boundary of a quantum random walk
We identify the Poisson boundary of the dual of the universal compact quantum group Au(F) with a mea...
The study of random walks on duals of compact quantum groups was initiated by Masaki Izumi in [II]. ...
Quantum groups first arose out of the study of integrability in quantum mechanics, presenting a new ...
International audienceWe study the C*-algebras and von Neumann algebras associated with the universa...
We study the C*-algebras and von Neumann algebras associated with the universal discrete quantum gro...
AbstractWe discuss some relationships between two different fields, a non-commutative version of the...
Quantum groups are a noncommutative extension of the notion of a group and first appeared in the con...
The Poisson and Martin boundaries for invariant random walks on the dual of the orthogonal quantum g...
We identify the Poisson boundary of the dual of the universal compact quantum group Au(F) with a mea...
For a locally compact quantum group G, consider the convolution action of a quantum probability meas...
29 pagesIn this paper we define a general setting for Martin boundary theory associated to quantum r...
We study the problem of convergence to the boundary in the setting of random walks on discrete quant...
Given a discrete quantum group H with a finite normal quantum subgroup G, we show that any positive,...
Abstract. We develop a general framework to deal with the unitary representations of quantum groups ...
We introduce and study the notions of boundary actions and of the Furstenberg boundary of a discrete...
We identify the Poisson boundary of the dual of the universal compact quantum group Au(F) with a mea...
The study of random walks on duals of compact quantum groups was initiated by Masaki Izumi in [II]. ...
Quantum groups first arose out of the study of integrability in quantum mechanics, presenting a new ...
International audienceWe study the C*-algebras and von Neumann algebras associated with the universa...
We study the C*-algebras and von Neumann algebras associated with the universal discrete quantum gro...
AbstractWe discuss some relationships between two different fields, a non-commutative version of the...
Quantum groups are a noncommutative extension of the notion of a group and first appeared in the con...
The Poisson and Martin boundaries for invariant random walks on the dual of the orthogonal quantum g...
We identify the Poisson boundary of the dual of the universal compact quantum group Au(F) with a mea...
For a locally compact quantum group G, consider the convolution action of a quantum probability meas...
29 pagesIn this paper we define a general setting for Martin boundary theory associated to quantum r...
We study the problem of convergence to the boundary in the setting of random walks on discrete quant...
Given a discrete quantum group H with a finite normal quantum subgroup G, we show that any positive,...
Abstract. We develop a general framework to deal with the unitary representations of quantum groups ...
We introduce and study the notions of boundary actions and of the Furstenberg boundary of a discrete...
We identify the Poisson boundary of the dual of the universal compact quantum group Au(F) with a mea...
The study of random walks on duals of compact quantum groups was initiated by Masaki Izumi in [II]. ...
Quantum groups first arose out of the study of integrability in quantum mechanics, presenting a new ...
