Expansive algebraic actions of countable abelian groups

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74125This 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.Dynamical SystemsCommutative Algebra22D40, 37B05, 13A18, 13G05Expansive algebraic actions of countable abelian groupstext