Probabilistic Operator Algebra Seminar: Some introductory aspects of Tomita-Takesaki theory

Seminar | April 23 | 2-4 p.m. | 736 Evans Hall

 Srivatsav Kunnawalkam Elayavalli, UC Berkeley

 Department of Mathematics

We explore the theory of Minoru Tomita (later polished and developed more by Masamichi Takesaki) on modular automorphisms of von Neumann algebras. This is a vast subject, and one cannot hope to cover it in one talk. As a result we will look at some basic notions and build a flavor for this subject in this presentation. The theory has led to some important classification results of Type III factors, which were once considered untamable beasts.