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Expansive Algebraic Actions of Countable Abelian Groups

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Abstract.

This paper gives an algebraic characterization of expansive actions of countable abelian groups on compact abelian groups. This naturally extends the classification of expansive algebraic \({\Bbb Z}^d\)-actions given by Schmidt using complex varieties. Also included is an application to a natural class of examples arising from unit subgroups of integral domains.

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Authors and Affiliations

  1. University of East Anglia, Norwich, UK

    Richard Miles

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  1. Richard Miles
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The author is very grateful for the helpful advice and comments of Tom Ward.

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Miles, R. Expansive Algebraic Actions of Countable Abelian Groups. Mh Math 147, 155–164 (2006). https://doi.org/10.1007/s00605-005-0338-8

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  • DOI: https://doi.org/10.1007/s00605-005-0338-8

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