Free Wreath Products as Fundamental Graph C*-algebras

Explore a 44-minute lecture on free wreath products and their connection to fundamental graph C*-algebras. Delve into the quantum counterpart of classical wreath products, introduced by Bichon as the free wreath product of a compact quantum group by the quantum permutation group S+N. Examine the representation theory of these groups and investigate open questions regarding their operator algebras, including the Haagerup property, K-amenability, and factoriality of the von Neumann algebra. Learn about joint work with Pierre Fima that identifies these algebras with fundamental C*-algebras of certain graphs of C*-algebras, leading to new insights and properties. Gain a deeper understanding of this advanced topic in quantum group theory and operator algebras, presented by Arthur Troupel from Université Paris-Cité at the Institut des Hautes Etudes Scientifiques (IHES).