# 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 Description

 Orateur(s) Liviu Paunescu - IMAR - Bucharest, Titre The Birkhoff -von Neumann Theorem in type II-1 setting Date 08/09/2016 Horaire 15:30 à 16:30 Diffusion 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. Salle 1013 Adresse Sophie Germain