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Cohomological rigidity of algebraic ℤd-actions

Published online by Cambridge University Press:  19 September 2008

K. Schmidt
K. Schmidt
Affiliation:
Mathematics Institute, University of Vienna, and Erwin Schrödinger Institute, A-1090 Vienna, Austria
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Abstract

We prove that every Hölder-continuous cocycle for an expansive and mixing ℤd-action α by automorphisms of a compact, abelian group X is Hölder-cohomologous to an affine cocycle, and give a complete description of the Hölder cohomology group of α.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 15 , Issue 4 , August 1995 , pp. 759 - 805
Copyright
Copyright © Cambridge University Press 1995

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