SUBFACTOR SEMINAR- Poisson boundaries of finite von Neumann algebras and Popa’s Mean Value Property -Room SC 1432
The study of noncommutative Poisson boundaries for finite von Neumann algebras was initiated by Prof. Jesse Peterson and the speaker in a recent work. In this talk, I will describe the construction of noncommutative Poisson boundaries, and present a double ergodicity theorem. I will also show how the double ergodicity theorem can be used to prove that every II_1 factor satisfies Popa’s Mean-Value property, thereby answering a question he posed in 2019. If time permits, I will present some new results on the structure of noncommutative Poisson boundaries. This talk is based on a joint work with Prof. Jesse Peterson.