Séminaires : Séminaire d'Algèbres d'Opérateurs

Equipe(s) : ao,
Responsables :François Le Maître et Romain Tessera
Email des responsables :
Salle : 2015
Adresse :Sophie Germain
Description

Orateur(s) Michiya Mori - ,
Titre Lattice isomorphisms between projection lattices of von Neumann algebras
Date12/12/2019
Horaire14:00 à 15:00
Résume

What is the general form of lattice isomorphisms between projection lattices of von Neumann algebras? In 1930s, von Neumann gave an answer to this question for type II_1 factors. He proved that a lattice isomorphism can be described by means of a ring isomorphism between the algebras of affiliated operators. However, apparently no answer to this question has been given for the general case (in particular for type III von Neumann algebras) until now. In this talk, I give an answer to this question for general von Neumann algebras (save types I_1 and I_2) using ring isomorphisms between the algebras of locally measurable operators.

Salle2015
AdresseSophie Germain
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