Expansive algebraic actions of countable abelian groups
Dynamical Systems
2007-05-23 v1 Commutative Algebra
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 -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.
Keywords
Cite
@article{arxiv.math/0502166,
title = {Expansive algebraic actions of countable abelian groups},
author = {Richard Miles},
journal= {arXiv preprint arXiv:math/0502166},
year = {2007}
}