Expansive algebraic actions of countable abelian groups

MILES, Richard (2006). Expansive algebraic actions of countable abelian groups. Monatshefte für Mathematik, 147 (2), 155-164. [Article]

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 ZdZd -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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