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math.OA2020★ 2 cited
A random matrix approach to the Peterson-Thom conjecture
Ben Hayes
The Peterson-Thom conjecture asserts that any diffuse, amenable subalgebra of a free group factor is contained in a unique maximal amenable subalgebra. This conjecture is motivated…
math.OA2020★ 4 cited
A multiplicative ergodic theorem for von Neumann algebra valued cocycles
Lewis Bowen, Ben Hayes, Yuqing +1
The classical Multiplicative Ergodic Theorem (MET) of Oseledets is generalized here to cocycles taking values in a semi-finite von Neumann algebra. This allows for a continuous Lya…