{"title":"可分类C*-代数的彩色同构","authors":"Jeffrey Im, G. Elliott","doi":"10.4153/s0008414x22000669","DOIUrl":null,"url":null,"abstract":"It is shown that the coloured isomorphism class of a unital, simple, Z -stable, separable amenable C ∗ -algebra satisfying the Universal Coefficient Theorem (UCT) is determined by its tracial simplex. This is a joint work with George A. Elliott.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Coloured Isomorphism of Classifiable C*-algebras\",\"authors\":\"Jeffrey Im, G. Elliott\",\"doi\":\"10.4153/s0008414x22000669\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"It is shown that the coloured isomorphism class of a unital, simple, Z -stable, separable amenable C ∗ -algebra satisfying the Universal Coefficient Theorem (UCT) is determined by its tracial simplex. This is a joint work with George A. Elliott.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2022-04-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4153/s0008414x22000669\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4153/s0008414x22000669","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
摘要
证明了满足普适系数定理(Universal Coefficient Theorem, UCT)的一元、简单、Z稳定、可分可调C * -代数的彩色同构类是由它的迹单纯形决定的。这是和George a . Elliott合作的作品。
It is shown that the coloured isomorphism class of a unital, simple, Z -stable, separable amenable C ∗ -algebra satisfying the Universal Coefficient Theorem (UCT) is determined by its tracial simplex. This is a joint work with George A. Elliott.
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