半群作用熵的一个桥定理

Q3 Mathematics

Topological Algebra and its Applications Pub Date : 2020-01-01 DOI:10.1515/taa-2020-0004

A. Bruno

{"title":"半群作用熵的一个桥定理","authors":"A. Bruno","doi":"10.1515/taa-2020-0004","DOIUrl":null,"url":null,"abstract":"Abstract The topological entropy of a semigroup action on a totally disconnected locally compact abelian group coincides with the algebraic entropy of the dual action. This relation holds both for the entropy relative to a net and for the receptive entropy of finitely generated monoid actions.","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":"8 1","pages":"46 - 57"},"PeriodicalIF":0.0000,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1515/taa-2020-0004","citationCount":"8","resultStr":"{\"title\":\"A bridge theorem for the entropy of semigroup actions\",\"authors\":\"A. Bruno\",\"doi\":\"10.1515/taa-2020-0004\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract The topological entropy of a semigroup action on a totally disconnected locally compact abelian group coincides with the algebraic entropy of the dual action. This relation holds both for the entropy relative to a net and for the receptive entropy of finitely generated monoid actions.\",\"PeriodicalId\":30611,\"journal\":{\"name\":\"Topological Algebra and its Applications\",\"volume\":\"8 1\",\"pages\":\"46 - 57\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1515/taa-2020-0004\",\"citationCount\":\"8\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Topological Algebra and its Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1515/taa-2020-0004\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Topological Algebra and its Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/taa-2020-0004","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}

引用次数: 8

摘要

完全不连通局部紧阿贝尔群上半群作用的拓扑熵与对偶作用的代数熵一致。这种关系对于相对于网的熵和有限生成的拟双曲型作用的接受熵都成立。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

A bridge theorem for the entropy of semigroup actions

Abstract The topological entropy of a semigroup action on a totally disconnected locally compact abelian group coincides with the algebraic entropy of the dual action. This relation holds both for the entropy relative to a net and for the receptive entropy of finitely generated monoid actions.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Topological Algebra and its Applications Mathematics-Algebra and Number Theory

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

24 weeks