Operator Theory Seminar
In this talk I will describe a double ergodicity result for noncommutative Poisson boundaries of type II_1 factors. I will also show that 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 also talk about a generalization of Furstenberg entropy to noncommutative boundary inclusions. This talk is based on a joint work with Prof. Jesse Peterson.