40 citations · 130 across the 31 of their papers we have counts for
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Mixing and Spectral Gap Relative to Pinsker Factors for Sofic Groups
Ben Hayes
Motivated by our previous results, we investigate structural properties of probability measure-preserving actions of sofic groups relative to their Pinsker factor. We also consider…
Sofic Entropy of Gaussian Actions
Ben Hayes
Associated to any orthogonal representation of a countable discrete group is an probability measure-preserving action called the Gaussian action. Using the Polish model formalism w…
1-bounded entropy and regularity problems in von Neumann algebras
Ben Hayes
We investigate the singular subspace of an inclusion of tracial von Neumann algebras. The singular subspace is a canonical N-N subbimodule of L^{2}(M) and it contains the quasinorm…
Independence Tuples and Deninger's Problem
Ben Hayes
Motivated by our results in "Polish Models and Sofic Entropy," we define modified version of the independence tuples for sofic entropy developed by Kerr and Li. These modified vers…