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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 243 - Functional Analysis Seminar
Hui Tan
UCSD
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).
Host: David Jekel
March 29, 2022
10:00 AM
Zoom
Please email djekel@ucsd.edu for details
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