The Bi-Free Analogue of Microstate Free Entropy
Speaker:
Paul Skoufranis (York University)
Date and Time:
Thursday, July 26, 2018 - 2:00pm to 3:00pm
Location:
University of Toronto
Abstract:
In a series of 6+ papers, Voiculescu developed notions of entropy in free probability. One of these notions, known as microstate free entropy, is intimately connected with the asymptotic properties of matrices. Microstate free entropy and its analogues have been instrumental in advancing the theory of von Neumann algebras. In this talk, we will introduce the audience to microstate free entropy. After motivating, defining, and showing some elementary properties of microstate free entropy, we will discuss the applications to von Neumann algebras. Finally, we will discuss the bi-free analogue of microstate free entropy and its potential to solve problems in von Neumann algebras.