{"title":"关于正则性的持久性","authors":"H. Lee, H. Osaka","doi":"10.1142/s1793525323500140","DOIUrl":null,"url":null,"abstract":". We study a pair of C ∗ -algebras ( A, B ) by associating a ∗ -homomorphism from A to B which allows an approximate left inverse to the ultrapower C ∗ -algebra of A as a completely positive map of order zero and show that important regularity properties related to the Elliott program pass from B to A in our setting.","PeriodicalId":49151,"journal":{"name":"Journal of Topology and Analysis","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2023-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"On permanence of regularity properties\",\"authors\":\"H. Lee, H. Osaka\",\"doi\":\"10.1142/s1793525323500140\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". We study a pair of C ∗ -algebras ( A, B ) by associating a ∗ -homomorphism from A to B which allows an approximate left inverse to the ultrapower C ∗ -algebra of A as a completely positive map of order zero and show that important regularity properties related to the Elliott program pass from B to A in our setting.\",\"PeriodicalId\":49151,\"journal\":{\"name\":\"Journal of Topology and Analysis\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2023-05-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Topology and Analysis\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1142/s1793525323500140\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Topology and Analysis","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1142/s1793525323500140","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
. We study a pair of C ∗ -algebras ( A, B ) by associating a ∗ -homomorphism from A to B which allows an approximate left inverse to the ultrapower C ∗ -algebra of A as a completely positive map of order zero and show that important regularity properties related to the Elliott program pass from B to A in our setting.
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This journal is devoted to topology and analysis, broadly defined to include, for instance, differential geometry, geometric topology, geometric analysis, geometric group theory, index theory, noncommutative geometry, and aspects of probability on discrete structures, and geometry of Banach spaces. We welcome all excellent papers that have a geometric and/or analytic flavor that fosters the interactions between these fields. Papers published in this journal should break new ground or represent definitive progress on problems of current interest. On rare occasion, we will also accept survey papers.
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