THE COHOMOLOGY OF EXPANSIVE Z(D)-ACTIONS BY AUTOMORPHISMS OF COMPACT, ABELIAN-GROUPS

被引：15

作者：

KATOK, AB ^{[1
]}

SCHMIDT, K ^{[1
]}

机构：

[1] UNIV VIENNA,INST MATH,A-1090 VIENNA,AUSTRIA

来源：

PACIFIC JOURNAL OF MATHEMATICS | 1995年 / 170卷 / 01期

关键词：

D O I：

10.2140/pjm.1995.170.105

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Based on the structure of the Z(d)-actions by automorphisms of compact, abelian groups and on techniques for proving the triviality of the first cohomology of higher rank abelian group actions we prove that, for d > 1, every real-valued Holder cocycle of an expansive and mixing Z(d)-action by automorphisms of a compact, abelian group in Holder cohomologous to a homomorphism.

引用

页码：105 / 142

页数：38

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[1] PERIODIC POINTS FOR EXPANSIVE ACTIONS OF Z(D) ON COMPACT ABELIAN-GROUPS
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