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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 243 - Functional Analysis Seminar
Ben Hayes
University of Virginia
A random matrix approach to absorption in free products
Abstract:
I'll discuss joint with Jekel-Nelson-Sinclair. We give the first free entropy proof of Popa's famous result that the generator MASA in a free group factor is maximal amenable, and we partially recover Houdayer's results on amenable absorption and Gamma stability. Moreover, we give a unified approach to all these results using 1-bounded entropy. The main techniques are concentration of measure on unitary groups as well as Voiculescu's asymptotic freeness theorem.
Host: Adrian Ioana
February 16, 2021
10:00 AM
For zoom information contact mtwiersma@ucsd.edu
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