Analysis Seminar

Thursday, October 26, 2023 4:30 pm - 5:30 pm EDT (GMT -04:00)

Arthur Troupel, Université Paris Cité

"Free wreath product quantum groups as fundamental C*-algebras of graphs"

The free wreath product of a compact quantum group by the quantum permutation group $S_N^+$ has been introduced by Bichon in order to give a quantum counterpart of the classical wreath product. The representation theory of such groups is well-known, but some results about their operator algebras were still open, for example stability of Haagerup property, of $K$-amenability or factoriality of the von Neumann algebra. I will present a joint work with Pierre Fima in which we identify these algebras with the fundamental C*-algebras of certain graphs of C*-algebras, and we deduce these properties from these constructions.

This seminar will be held both online and in person: