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Cohomological rigidity of algebraic ℤd-actions
Published online by Cambridge University Press: 19 September 2008
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.
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- Copyright © Cambridge University Press 1995
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