{"title":"Mean dimension and a non-embeddable example\nfor amenable group actions","authors":"Lei Jin, K. Park, Yixiao Qiao","doi":"10.4064/fm921-1-2021","DOIUrl":null,"url":null,"abstract":". For every infinite (countable discrete) amenable group G and every positive integer d we construct a minimal G -action of mean dimension d/ 2 which cannot be embedded in the full G -shift on ([0 , 1] d ) G .","PeriodicalId":55138,"journal":{"name":"Fundamenta Mathematicae","volume":" ","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2021-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fundamenta Mathematicae","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4064/fm921-1-2021","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
. For every infinite (countable discrete) amenable group G and every positive integer d we construct a minimal G -action of mean dimension d/ 2 which cannot be embedded in the full G -shift on ([0 , 1] d ) G .
期刊介绍：
FUNDAMENTA MATHEMATICAE concentrates on papers devoted to
Set Theory,
Mathematical Logic and Foundations of Mathematics,
Topology and its Interactions with Algebra,
Dynamical Systems.
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