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Instances of cohomological triviality and rigidity

Published online by Cambridge University Press:  19 September 2008

William Parry
William Parry
Affiliation:
Department of Mathematics, University of Warwick, Coventry CV4 7AL, UK
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Abstract

We consider a compact metric zero-dimensional abelian group X and mixing ℤ2 (or ℤ2+) actions by automorphisms (or endomorphisms). We provide various instances of cohomological triviality and rigidity for cocycles taking values in finite groups.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 15 , Issue 4 , August 1995 , pp. 685 - 696
Copyright
Copyright © Cambridge University Press 1995

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References

REFERENCES

[1]Katok, A. and Schmidt, K.. The cohomology of expansive ℤd actions by automorphisms of compact abelian groups. (Preprint.)Google Scholar
[2]Kitchens, B. and Schmidt, K.. Automorphisms of compact groups. Ergod. Th. & Dynam. Sys. 9 (1989), 691–735.CrossRefGoogle Scholar
[3]Kitchens, B. and Schmidt, K.. Markov subgroups of . Contemp. Math. 135 (1992), 265–683.CrossRefGoogle Scholar
[4]Ledrappier, F.. Un champ markovien peutetre d'entropie n ulle et mélangeant. C. R. Acad. Sci. Paris Ser. A. 287 (1978), 561–562.Google Scholar
[5]Livsic, A.. Cohomology of dynamical systems. Math. U.S.S.R. Izv. 6 (1972), 1278–1301.CrossRefGoogle Scholar
[6]Rudolph, D.. ×2 and ×3 invariant measures and entropy. Dynam. Sys. 10 (1990), 395–406.Google Scholar
[7]Schmidt, K.. Cohomological rigidity of algebraic ℤd-actions. To appear.Google Scholar