Approximately transitive dynamical systems and simple spectrum
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- 作者：1. Department of Mathematics ; University of Rouen ; LMRS ; UMR 60 85 ; Avenue de l’Université ; BP. 12 ; 76801 Saint Etienne du Rouvray ; France2. Institute of Mathematics of Polish Academy of Sciences ; ?niadeckich 8 ; 00-956 Warszawa ; Poland3. Faculty of Mathematics and Computer Science ; Nicolas Copernicus University ; Chopin street 12/18 ; 87-100 Toruń ; Poland
- 关键词：Ergodic theory – Dynamical system – AT property – Funny rank one – Haar spectrum
- 刊名：Archiv der Mathematik
- 出版年：2011
- 出版时间：August 2011
- 年：2011
- 卷：97
- 期：2
- 页码：187-197
- 全文大小：225.2 KB
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- 刊物类别：Mathematics and Statistics
- 刊物主题：Mathematics
Mathematics - 出版者：Birkh盲user Basel
- ISSN：1420-8938
文摘
For some countable discrete torsion Abelian groups we give examples of their finite measure-preserving actions which have simple spectrum and no approximate transitivity property.