{"title":"Rokhlin dimension and equivariant bundles","authors":"P. Vaidyanathan","doi":"10.7900/jot.2020oct27.2314","DOIUrl":null,"url":null,"abstract":"Given an action of a compact group on a complex vector bundle, there is an induced action of the group on the associated Cuntz--Pimsner algebra. We determine conditions under which this action has finite Rokhlin dimension.","PeriodicalId":50104,"journal":{"name":"Journal of Operator Theory","volume":" ","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2020-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Operator Theory","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.7900/jot.2020oct27.2314","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: 2
Abstract
Given an action of a compact group on a complex vector bundle, there is an induced action of the group on the associated Cuntz--Pimsner algebra. We determine conditions under which this action has finite Rokhlin dimension.
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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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