3 citations · 9 across the 4 of their papers we have counts for
9 papers
Property (T) and strong -boundedness for von Neumann algebras
Ben Hayes, David Jekel, Srivatsav Kunnawalkam Elayavalli
The notion of strong 1-boundedness for finite von Neumann algebras was introduced by Jung in arXiv:math/0510576 . This framework provided a free probabilistic approach to study rig…
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…
A random matrix approach to absorption in free products
Ben Hayes, David Jekel, Brent Nelson +1
This paper gives a free entropy theoretic perspective on amenable absorption results for free products of tracial von Neumann algebras. In particular, we give the first free entrop…
Harmonic Models and Bernoullicity
Ben Hayes
We give many examples of algebraic actions which are factors of Bernoulli shifts. These include certain harmonic models over left orderable groups of large enough growth, as well a…
Max-Min theorems for weak containment, square summable homoclinic points, and completely positive entropy
Ben Hayes
We prove a max-min theorem for weak containment in the context of algebraic actions. Namely, we show that given an algebraic action of on there is a maximal, closed -in…
An Operator theoretic approach to the convergence of rearranged Fourier series
Keaton Hamm, Ben Hayes, Armenak Petrosyan
This article studies the rearrangement problem for Fourier series introduced by P.L. Ulyanov, who conjectured that every continuous function on the torus admits a rearrangement of…