Expansive algebraic actions of countable abelian groups

Details Expansive algebraic actions of countable abelian groups Expansive algebraic actions of countable abelian groups

2005-02-08

arxiv.org/abs/math/0502166v1

Mathematics

Dynamical Systems

Scientific paper

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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