{"title":"通过模型行动吸收对异常行动进行分类","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":"{\"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}","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}
A classification of anomalous actions through model action absorption
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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