Weak equivalence to Bernoulli shifts for some algebraic actions

DOI10.1090/proc/14060zbMath1442.37008arXiv1709.05372OpenAlexW2963119616MaRDI QIDQ4630654

Ben Hayes

Publication date: 23 April 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.05372

zbMATH Keywords

von Neumann algebraweak equivalence\(\ell^2\) formal inverse

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Representation theory of linear operators (47A67) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) General groups of measure-preserving transformations and dynamical systems (37A15) Linear operators in (C^*)- or von Neumann algebras (47C15) Dynamical systems and the theory of (C^*)-algebras (37A55)

Related Items (3)

Max-min theorems for weak containment, square summable homoclinic points, and completely positive entropy ⋮ Weak containment of measure-preserving group actions ⋮ Harmonic models and Bernoullicity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Combinatorial independence and sofic entropy
• Compact group automorphisms, addition formulas and Fuglede-Kadison determinants
• Harmonic models and spanning forests of residually finite groups
• Mahler measure and entropy for commuting automorphisms of compact groups
• Theory of operator algebras. II
• Homoclinic groups, IE groups, and expansive algebraic actions
• Independence tuples and Deninger's problem
• Fuglede-Kadison determinants and sofic entropy
• Ergodicity of principal algebraic group actions
• Entropy, determinants, and $L^2$-torsion
• Entropy and growth rate of periodic points of algebraic Z^d-actions
• Entropy for expansive algebraic actions of residually finite groups
• Mixing actions of countable groups are almost free
• Bernoulli actions are weakly contained in any free action
• Expansive algebraic actions of discrete residually finite amenable groups and their entropy
• Fuglede–Kadison determinants and entropy for actions of discrete amenable groups
• Asymptotic Enumeration of Spanning Trees
• Theory of operator algebras I.

This page was built for publication: Weak equivalence to Bernoulli shifts for some algebraic actions