{"title":"关于某些混合q-变形Araki-Woods C -代数的简单性","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":"{\"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}","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
摘要
当构造中的底层Hilbert空间为无限维且相关正交表示的解析生成器有界时，混合q-变形Araki-Woods C -代数是简单的。
On the simplicity of certain mixed q-deformed Araki-Woods C⁎-algebras
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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