{"title":"关于Cuntz-Krieger代数的C*-子代数族","authors":"Kengo Matsumoto","doi":"10.1007/s44146-022-00047-6","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we study a family of <i>C</i><sup>*</sup>-subalgebras defined by\nfixed points of generalized gauge actions of a Cuntz–Krieger algebra by\nintroducing a family of étale groupoids whose associated <i>C</i><sup>*</sup>-algebras\nare these <i>C</i><sup>*</sup>-subalgebras. We show that topological conjugacy classes\nof one-sided topological Markov shifts are characterized in terms of the\nisomorphism classes of these étale groupoids.</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"88 3-4","pages":"739 - 767"},"PeriodicalIF":0.5000,"publicationDate":"2022-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s44146-022-00047-6.pdf","citationCount":"2","resultStr":"{\"title\":\"On a family of C*-subalgebras of Cuntz–Krieger algebras\",\"authors\":\"Kengo Matsumoto\",\"doi\":\"10.1007/s44146-022-00047-6\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper, we study a family of <i>C</i><sup>*</sup>-subalgebras defined by\\nfixed points of generalized gauge actions of a Cuntz–Krieger algebra by\\nintroducing a family of étale groupoids whose associated <i>C</i><sup>*</sup>-algebras\\nare these <i>C</i><sup>*</sup>-subalgebras. We show that topological conjugacy classes\\nof one-sided topological Markov shifts are characterized in terms of the\\nisomorphism classes of these étale groupoids.</p></div>\",\"PeriodicalId\":46939,\"journal\":{\"name\":\"ACTA SCIENTIARUM MATHEMATICARUM\",\"volume\":\"88 3-4\",\"pages\":\"739 - 767\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2022-10-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://link.springer.com/content/pdf/10.1007/s44146-022-00047-6.pdf\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ACTA SCIENTIARUM MATHEMATICARUM\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s44146-022-00047-6\",\"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":"ACTA SCIENTIARUM MATHEMATICARUM","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s44146-022-00047-6","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
On a family of C*-subalgebras of Cuntz–Krieger algebras
In this paper, we study a family of C*-subalgebras defined by
fixed points of generalized gauge actions of a Cuntz–Krieger algebra by
introducing a family of étale groupoids whose associated C*-algebras
are these C*-subalgebras. We show that topological conjugacy classes
of one-sided topological Markov shifts are characterized in terms of the
isomorphism classes of these étale groupoids.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
