{"title":"Isomorphism of some new Kadison–Singer algebras","authors":"Qian Yan, Zhujun Yang, Wei Yuan, Wenming Wu","doi":"10.1007/s43037-024-00370-w","DOIUrl":null,"url":null,"abstract":"<p>Some new classes of Kadison-Singer lattices (KS-lattices) and Kadison-Singer algebras (KS-algebras) are constructed. These KS-lattices are determined by a given KS-lattice, some discrete nest of projections and one special projection. Some quantities for these lattices are used to classify these KS-algebras. It is shown that these KS-algebras are isometrically isomorphic if and only if they are unitarily equivalent if and only if they have the same quantities.</p>","PeriodicalId":55400,"journal":{"name":"Banach Journal of Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":1.1000,"publicationDate":"2024-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Banach Journal of Mathematical Analysis","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s43037-024-00370-w","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
Some new classes of Kadison-Singer lattices (KS-lattices) and Kadison-Singer algebras (KS-algebras) are constructed. These KS-lattices are determined by a given KS-lattice, some discrete nest of projections and one special projection. Some quantities for these lattices are used to classify these KS-algebras. It is shown that these KS-algebras are isometrically isomorphic if and only if they are unitarily equivalent if and only if they have the same quantities.
期刊介绍：
The Banach Journal of Mathematical Analysis (Banach J. Math. Anal.) is published by Birkhäuser on behalf of the Tusi Mathematical Research Group.
Banach J. Math. Anal. is a peer-reviewed electronic journal publishing papers of high standards with deep results, new ideas, profound impact, and significant implications in all areas of functional analysis and operator theory and all modern related topics. Banach J. Math. Anal. normally publishes survey articles and original research papers numbering 15 pages or more in the journal’s style. Shorter papers may be submitted to the Annals of Functional Analysis or Advances in Operator Theory.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
