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Expansive algebraic actions of countable abelian groups

Richard Miles
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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 $\mathbb{Z}^d$-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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Richard Miles. 2005-02-08. Expansive algebraic actions of countable abelian groups. https://arxiv.org/abs/math/0502166

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