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The cohomology of expansive \(\mathbb{Z}^ d\)-actions by automorphisms of compact, Abelian groups

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Publication:1919863
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DOI10.2140/pjm.1995.170.105zbMath0866.28015OpenAlexW1587930032MaRDI QIDQ1919863

Anatole Katok, Klaus Schmidt

Publication date: 7 July 1997

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1995.170.105


zbMATH Keywords

cohomologygroup actionssubshift\(\mathbb{Z}^ d\)-actionautomorphism of compact groups


Mathematics Subject Classification ID

Ergodic theory on groups (22D40) General groups of measure-preserving transformations (28D15)


Related Items

Homoclinic points of algebraic $\mathbb {Z}^d$-actions ⋮ Expansiveness of algebraic actions on connected groups ⋮ Cohomology of permutative cellular automata ⋮ Continuous cocycle superrigidity for shifts and groups with one end ⋮ The first cohomology group, mixing and minimal sets of the commutative group of algebraic actions on a torus ⋮ Anatole Katok ⋮ Invariant measures for higher-rank hyperbolic abelian actions ⋮ Divergence, undistortion and Hölder continuous cocycle superrigidity for full shifts



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