Research

Yusuke Isono is working on operator algebras. He is particularly interested in the classification of von Neumann algebras and the connection with ergodic theory. Recently this area is active and a lot of progress have been made by S. Popa's deformation/rigidity theory, which has important connections with measured group theory, discrete group theory, ergodic theory etc. His work always focuses on type III von Neumann algebras. This is the most difficult class of von Neumann algebras and Tomita--Takesaki theory is a fundamental tool for this subject. The aim of his research is to understand structures of type III von Neumann algebras and find an interaction with ergodic theory.