Laboratoire de Mathématiques de Besançon - UMR 6623 CNRS

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19 mai 2020: 1 événement

  • Séminaire d’Analyse Fonctionnelle

    Mardi 19 mai 13:30-14:30 - Orr Shalit - Technion, Haifa

    Assumed knowledge : Completely positive maps and C*-algebras

    Résumé : We introduce a framework for studying dilations of semigroups of completely positive maps on von Neumann algebras. The heart of our method is the systematic use of families of Hilbert C*-correspondences that behave nicely with respect to tensor products : these are product systems, subproduct systems and superproduct systems. Although we developed our tools with the goal of understanding the multi-parameter case, they also lead to new results even in the well studied one parameter case. In my talk I will give a broad outline and a taste of the dividends our work.
    The talk is based on a recent joint work with Michael Skeide.

    En savoir plus : Séminaire d’Analyse Fonctionnelle