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CHAPTER II \(\mathbb{Z}^{d}\)-actions on compact abelian groups

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Dynamical Systems of Algebraic Origin

Part of the book series: Modern Birkhäuser Classics ((MBC))

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Abstract

According to Theorem 4.2,\(\mathbb{Z}^{d}\)is of Markov type for every \( d\geq1\), and \(\mathbb{Z}^{d}\)actions by automorphisms of compact groups enjoy the properties described in (4.10), Propositions 4.9–4.10, Remark 4.15, and Theorem 4.11.

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© 1995 Springer Basel AG

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Schmidt, K. (1995). CHAPTER II \(\mathbb{Z}^{d}\)-actions on compact abelian groups. In: Dynamical Systems of Algebraic Origin. Modern Birkhäuser Classics. Springer, Basel. https://doi.org/10.1007/978-3-0348-0277-2_2

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  • DOI: https://doi.org/10.1007/978-3-0348-0277-2_2

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  • Publisher Name: Springer, Basel

  • Print ISBN: 978-3-0348-0276-5

  • Online ISBN: 978-3-0348-0277-2

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