Almost block independence and Bernoullicity of \(\mathbb{Z}^ d\)-actions by automorphisms of compact Abelian groups

DOI10.1007/BF01241139zbMath0835.28007OpenAlexW1970345540MaRDI QIDQ1895690

Klaus Schmidt, Daniel J. Rudolph

Publication date: 26 March 1996

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/144285

zbMATH Keywords

block independenceBernoulli property\(\mathbb{Z}^ d\)-action

Mathematics Subject Classification ID

General groups of measure-preserving transformations (28D15) Compact groups (22C05)

Related Items (16)

A remark on \(\mathbb{T}\)-valued cohomology groups of algebraic group actions ⋮ Informal research statement ⋮ Homoclinic points and isomorphism rigidity of algebraic \(\mathbb Z^d\)-actions on zero-dimensional compact abelian groups ⋮ Isomorphism rigidity in entropy rank two ⋮ A survey of algebraic actions of the discrete Heisenberg group ⋮ New examples of Bernoulli algebraic actions ⋮ Proper -colorings of are Bernoulli ⋮ Zero-entropy algebraic \(\mathbb{Z}^d\)-actions that do not exhibit rigidity ⋮ Compact group automorphisms, addition formulas and Fuglede-Kadison determinants ⋮ Isomorphism rigidity of commuting automorphisms ⋮ group shifts and Bernoulli factors ⋮ Abelian sandpiles and the harmonic model ⋮ Homoclinic groups, IE groups, and expansive algebraic actions ⋮ Markovian properties of continuous group actions: algebraic actions, entropy and the homoclinic group ⋮ Harmonic models and Bernoullicity ⋮ A Dynamical Interpretation of the Global Canonical Height on an Elliptic Curve

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