Expansive algebraic actions of countable abelian groups

被引：9

作者：

Miles, R ^{[1
]}

机构：

[1] Univ E Anglia, Norwich NR4 7TJ, Norfolk, England

来源：

MONATSHEFTE FUR MATHEMATIK | 2006年 / 147卷 / 02期

关键词：

expansiveness; algebraic action; integral domain; valuation;

D O I：

10.1007/s00605-005-0338-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 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.

引用

页码：155 / 164

页数：10

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