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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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