83 citations · 326 across the 46 of their papers we have counts for
5 papers · 1 filter
Higher l^2-Betti numbers of universal quantum groups
Julien Bichon, David Kyed, Sven Raum
We calculate all -Betti numbers of the universal discrete Kac quantum groups as well as their full half-liberated counterparts .
Half-liberated real spheres and their subspaces
Julien Bichon
We describe the quantum subspaces of Banica-Goswami's half-liberated real-spheres, showing in particular that there is a bijection between the symmetric ones and the conjugation st…
Random walk questions for linear quantum groups
Teodor Banica, Julien Bichon
We study the discrete quantum groups whose group algebra has an inner faithful representation of type . Such a representation can be thought of as c…
Representations of quantum permutation algebras
Teodor Banica, Julien Bichon, Jean-Marc Schlenker
We develop a combinatorial approach to the quantum permutation algebras, as Hopf images of representations of type . We discuss several general problems, includin…
Ergodic coactions with large multiplicity and monoidal equivalence of quantum groups
Julien Bichon, An De Rijdt, Stefaan Vaes
We construct new examples of ergodic coactions of compact quantum groups, in which the multiplicity of an irreducible corepresentation can be strictly larger than the dimension of…