{"title":"Fullness of \n \n q\n $q$\n -Araki-Woods factors","authors":"Manish Kumar, Simeng Wang","doi":"10.1112/jlms.12989","DOIUrl":null,"url":null,"abstract":"<p>The <span></span><math>\n <semantics>\n <mi>q</mi>\n <annotation>$q$</annotation>\n </semantics></math>-Araki-Woods factor associated to a group of orthogonal transformations on a real separable Hilbert space <span></span><math>\n <semantics>\n <msub>\n <mi>H</mi>\n <mi>R</mi>\n </msub>\n <annotation>$\\mathsf {H}_{\\mathbb {R}}$</annotation>\n </semantics></math> is full as soon as <span></span><math>\n <semantics>\n <mrow>\n <mo>dim</mo>\n <msub>\n <mi>H</mi>\n <mi>R</mi>\n </msub>\n <mo>⩾</mo>\n <mn>2</mn>\n </mrow>\n <annotation>$\\dim \\mathsf {H}_{\\mathbb {R}}\\geqslant 2$</annotation>\n </semantics></math>.</p>","PeriodicalId":49989,"journal":{"name":"Journal of the London Mathematical Society-Second Series","volume":null,"pages":null},"PeriodicalIF":1.0000,"publicationDate":"2024-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the London Mathematical Society-Second Series","FirstCategoryId":"100","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1112/jlms.12989","RegionNum":2,"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 -Araki-Woods factor associated to a group of orthogonal transformations on a real separable Hilbert space is full as soon as .
期刊介绍：
The Journal of the London Mathematical Society has been publishing leading research in a broad range of mathematical subject areas since 1926. The Journal welcomes papers on subjects of general interest that represent a significant advance in mathematical knowledge, as well as submissions that are deemed to stimulate new interest and research activity.
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