Free wreath products as fundamental graph C*-algebras

Arthur Troupel (Université Paris Cité, France)

14-Feb-2023, 15:00-16:00 (13 months ago)

Abstract: 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 Haagerup property, 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.

operator algebrasquantum algebra

Audience: researchers in the topic


Quantum Groups Seminar [QGS]

Series comments: This seminar aims to bring together experts in the area of quantum groups. The seminar topics will cover the theory of quantum groups and related structures in a large sense: Hopf algebras, operator algebras, q-deformations, higher categories and related branches of noncommutative mathematics.

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Organizers: Rubén Martos, Frank Taipe*, Makoto Yamashita
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