Ben Hayes

activity

20132021

most citedAn l^{p}-Version of von Neumann Dimension for Representations of Equivalence Relations

3 citations · 9 across the 4 of their papers we have counts for

collaborators

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4 papers · 1 filter

math.DS2019

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…

math.DS2019★ 3 cited

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 $G$ on $X,$ there is a maximal, closed $G$ -in…

math.DS2018

Local weak $^{*}$ -Convergence, algebraic actions, and a max-min principle

Ben Hayes

We continue our study of when topological and measure-theoretic entropy agree for algebraic action of sofic groups. Specifically, we provide a new abstract method to prove that an…

math.DS2017★ 1 cited

Weak equivalence to Bernoulli shifts for some algebraic actions

Ben Hayes

Namely, we prove that if $G$ is a countable, discrete group and $f \in M_{n} (Z (G))$ is invertible on $ℓ^{2} (G)^{\oplus n},$ but $f$ is not invertible in $M_{n} (Z (G))$ , then the…

Harmonic Models and Bernoullicity

Max-Min theorems for weak containment, square summable homoclinic points, and completely positive entropy

Local weak∗-Convergence, algebraic actions, and a max-min principle

Weak equivalence to Bernoulli shifts for some algebraic actions

Local weak $^{*}$ -Convergence, algebraic actions, and a max-min principle