Laboratoire de Mathématiques de Besançon - UMR 6623 CNRS
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8 septembre 2020: 1 événement

  • Séminaire d’Analyse Fonctionnelle

    Mardi 8 septembre 13:45-15:00 - Jacek Krajczok - IMPAN, Warsaw

    Type I locally compact quantum groups : coamenability and applications

    Résumé : We say that a locally compact quantum group is type I if its
    universal C* algebra (which is equal to $C^u_0(\hatG)$) is type I.
    This class of quantum groups can be though of as an intermediate step
    between compact and general locally compact quantum groups ; they are
    significantly more general than compact ones, but still have tractable
    representation theory. Similarly to the compact case, one can define
    "character-like" operators associated with suitable representations. I
    will discuss a result which states that coamenability of G is equivalent
    to a certain condition on spectra of these operators. If time permits, I
    will also discuss how one can use theory of type I locally compact
    quantum groups to show that the quantum space underlying the Toeplitz
    algebra does not admit a quantum group structure (joint work with Piotr
    Sołtan).

    En savoir plus : Séminaire d’Analyse Fonctionnelle