Free Probability and Operators

Date: September 22, 2023

Time: 4:00PM - 5:00PM

Location: BLOC 506A

Speaker: Srivatsav Kunnawalkam Elayavalli, UCSD

Title: How to construct two non Gamma II_1 factors with non isomorphic ultrapowers

Abstract: I will describe a construction due to myself, Chifan and Ioana of a II_1 factor N such that N^omega is not isomorphic to L(F_2)^omega for any free ultrafilter omega. This is the first known such examples. The proof uses Voiculescu's free entropy theory and Popa's deformation rigidity theory.