Expansive Algebraic Actions of Countable Abelian Groups

• Autores: Richard Miles
• Localización: Monatshefte für mathematik, ISSN 0026-9255, Vol. 147, Nº 2, 2006, págs. 155-164
• Idioma: inglés
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• Resumen

  • 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 -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.