QLA2018 General Seminar Series: A Random Matrix Approach to the Peterson-Thom Problem

Ben Hayes
University of Virginia

The Peterson-Thom conjecture states that given an amenable subgalebra of a free group factor, there is a unique maximal amenable subalgebra containing it (unique is the hard part). Equivalently, given two diffuse, amenable subalgebras with diffuse intersection, the algebra they generate is amenable. I will discuss some random matrix problems related to the Haagerup-Thorbjornsen theorem that would solve the problem affirmatively, if true.

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