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Speaker: François Lemeux, U. Besançon
Title: Operator algebraic properties for free wreath product by quantum permutation groups
Abstract: I will start by recalling a few definitions about free quantum groups such as free orthogonal and unitary quantum groups and quantum permutation groups. Then I will recall the definitions of Bichon for free wreath product quantum groups. I will explain how to compute the fusion rules of certain free wreath products by the quantum permutation groups. To do this I will focus on giving a combinatorial description of the intertwiner spaces in such free wreath products. I will give some applications of the knowledge of such fusion rules such as approximation properties and factoriality.
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