Séminaires : Séminaire d'Analyse Fonctionnelle

Equipe(s) : af,
Responsables :E. Abakoumov - A.Eskenazis - D. Cordero-Erausquin - M. Fathi - O. Guédon - B. Maurey
Email des responsables :
Salle : salle 13 - couloir 15-16 - 4ème étage
Adresse :Campus Pierre et Marie Curie
Le Jeudi à 10h30 -  IMJ-PRG - 4 place Jussieu - 75005 PARIS

Orateur(s) David Kerr - Texas A&M University,
Titre Quantum groups, property (T), and weak mixing
Horaire10:30 à 11:27
RésumeFor second countable discrete quantum groups, and more generally second countable locally compact quantum groups with trivial scaling group, we show that property (T) is equivalent to every weakly mixing unitary representation not having almost invariant vectors. This generalizes results of Bekka–Valette (from the group setting) and Daws–Skalski–Viselter (from the setting of low dual) and is established using completely different methods. As a consequence we obtain quantum group versions of characterizations of property (T) of Kerr–Pichot in terms of the Baire category theory of weak mixing representations and of Connes–Weiss in term of the prevalence of strongly ergodic actions. This is joint work with Michael Brannan.
Sallesalle 13 - couloir 15-16 - 4ème étage
AdresseCampus Pierre et Marie Curie