Séminaires : Séminaire d'Algèbres d'Opérateurs

Equipe(s) : ao,
Responsables :Pierre Fima, François Le Maître, Romain Tessera
Email des responsables :
Salle : 1013
Adresse :Sophie Germain

Orateur(s) Liviu Paunescu - IMAR - Bucharest,
Titre The Birkhoff -von Neumann Theorem in type II-1 setting
Horaire15:30 à 16:30
Résume The classic Birkhoff-von Neumann theorem states that the set of doubly stochastic matrices is the convex hull of the permutation matrices. In this talk, we study a generalisation of this theorem in the type $II_1$ setting. Namely, we replace a doubly stochastic matrix with a collection of measure preserving partial isomorphisms, of the unit interval, with similar properties. We show that a weaker version of this theorem still holds. Joint work with Florin Radulescu.
AdresseSophie Germain