{"title":"Nuclear dimension of extensions of O∞-stable algebras","authors":"Samuel Evington","doi":"10.7900/jot.2020dec21.2321","DOIUrl":null,"url":null,"abstract":"We obtain an improved upper bound for the nuclear dimension of extensions of O∞-stable C∗-algebras. In particular, we prove that the nuclear dimension of a full extension of an O∞-stable C∗-algebra by a stable AF algebra is one.","PeriodicalId":50104,"journal":{"name":"Journal of Operator Theory","volume":" ","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2022-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Operator Theory","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.7900/jot.2020dec21.2321","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 3
Abstract
We obtain an improved upper bound for the nuclear dimension of extensions of O∞-stable C∗-algebras. In particular, we prove that the nuclear dimension of a full extension of an O∞-stable C∗-algebra by a stable AF algebra is one.
期刊介绍：
The Journal of Operator Theory is rigorously peer reviewed and endevours to publish significant articles in all areas of operator theory, operator algebras and closely related domains.
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