论文信息 - Group extensions of Gibbs–Markov maps

Group extensions of Gibbs–Markov maps

Abstract Let φ be an aperiodic cocycles with values in a locally compact abelian second countable group ? defined on an exact Gibbs–Markov map T : X → X. We show that the group extension Tφ(x,g) = (T(x),g + φ(x)) (x ? X; g ??) is exact. Equivalent conditions for exactness are found.

Jon Aaronson | Manfred Denker

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