Laboratoire de Mathématiques de Besançon - UMR 6623 CNRS

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2 juin 2020: 1 événement

  • Séminaire d’Analyse Fonctionnelle

    Mardi 2 juin 13:45-15:00 - Mario Klisse - Delft

    Graph product Khintchine inequalities and their applications to Hecke C*-algebras

    Résumé : A graph product of groups is a group theoretic construction that generalizes both free products and Cartesian products. It admits an operator algebraic conterpart, which interpolates between free products and tensor products. Both constructions preserve many properties of the underlying groups/algebras. Important examples of operator algebras that can be realized in terms of graph products are right-angled Hecke algebras, special cases of mixed q-Gaussian algebras as well as several group C*-algebras. In this talk we will discuss so called Khintchine inequalities for general C*-algebraic graph products. These are inequalities which estimate the operator norm of a reduced operator of a given length with the norm of certain Haagerup tensor products of column and row Hilbert spaces. Inequalities of this kind turn out to be very useful. We will demonstrate this in the case of (right-angled) Hecke C*-algebras, by investigating their ideal structures.

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