College of Liberal Arts & Sciences

# Operator Theory Seminar

Speaker:

Sayan Das

Topic:

On a double ergodicity theorem for noncommutative Poisson boundaries.

**Abstract:**

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.

Event Date:

January 25, 2022 - 1:30pm to 2:20pm

Location:

VAN 309 or Online (See URL)

Calendar Category:

Seminar

Seminar Category:

Operator Theory