{"title":"On the simplicity of certain mixed q-deformed Araki-Woods C⁎-algebras","authors":"Malay Mandal , Kunal Mukherjee , Issan Patri","doi":"10.1016/j.jmaa.2024.129090","DOIUrl":null,"url":null,"abstract":"<div><div>The mixed <em>q</em>-deformed Araki-Woods <span><math><msup><mrow><mi>C</mi></mrow><mrow><mo>⁎</mo></mrow></msup></math></span>-algebras are simple when the underlying Hilbert space in the construction is infinite-dimensional and the analytic generator of the associated orthogonal representation is bounded.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"544 2","pages":"Article 129090"},"PeriodicalIF":1.2000,"publicationDate":"2024-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Analysis and Applications","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022247X24010126","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
The mixed q-deformed Araki-Woods -algebras are simple when the underlying Hilbert space in the construction is infinite-dimensional and the analytic generator of the associated orthogonal representation is bounded.
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