Operator Theory Seminar

Speaker: 
Hui Tan (University of California San Diego)
Topic: 
Spectral gap characterizations of property (T) for II_1 factors.

Abstract:

For property (T) II_1 factors, any inclusion into a tracial von Neumann algebra has spectral gap, and therefore weak spectral gap. I will discuss characterizations of property (T) for II_1 factors by weak spectral gap in inclusions. I will explain how this is related to the non-weakly-mixing property of the bimodules containing almost central vectors, from which we also obtain a characterization of property (T).

Event Date: 
April 26, 2022 - 1:30pm to 2:20pm
Location: 
VAN 309 or Online (See URL)
Calendar Category: 
Seminar
Seminar Category: 
Operator Theory