{"title":"A classification of anomalous actions through model action absorption","authors":"Sergio Girón Pacheco","doi":"10.4153/s0008414x2400018x","DOIUrl":null,"url":null,"abstract":"<p>We discuss a strategy for classifying anomalous actions through model action absorption. We use this to upgrade existing classification results for Rokhlin actions of finite groups on C<span><span><img data-mimesubtype=\"png\" data-type=\"\" src=\"https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20240329083149113-0880:S0008414X2400018X:S0008414X2400018X_inline1.png\"><span data-mathjax-type=\"texmath\"><span>$^*$</span></span></img></span></span>-algebras, with further assuming a UHF-absorption condition, to a classification of anomalous actions on these C<span><span><img data-mimesubtype=\"png\" data-type=\"\" src=\"https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20240329083149113-0880:S0008414X2400018X:S0008414X2400018X_inline2.png\"><span data-mathjax-type=\"texmath\"><span>$^*$</span></span></img></span></span>-algebras.</p>","PeriodicalId":501820,"journal":{"name":"Canadian Journal of Mathematics","volume":"121 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Canadian Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4153/s0008414x2400018x","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We discuss a strategy for classifying anomalous actions through model action absorption. We use this to upgrade existing classification results for Rokhlin actions of finite groups on C$^*$-algebras, with further assuming a UHF-absorption condition, to a classification of anomalous actions on these C$^*$-algebras.
$^*$-algebras, with further assuming a UHF-absorption condition, to a classification of anomalous actions on these C
$^*$-algebras.
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