自由量子群因子中径向子代数的极大适应性

IF 1.7 2区数学 Q1 MATHEMATICS

Journal of Functional Analysis Pub Date : 2025-07-02 DOI:10.1016/j.jfa.2025.111118

Roland Vergnioux , Xumin Wang

{"title":"自由量子群因子中径向子代数的极大适应性","authors":"Roland Vergnioux , Xumin Wang","doi":"10.1016/j.jfa.2025.111118","DOIUrl":null,"url":null,"abstract":"<div><div>We show that the radial MASA in the orthogonal free quantum group algebra <span><math><mi>L</mi><mo>(</mo><mi>F</mi><msub><mrow><mi>O</mi></mrow><mrow><mi>N</mi></mrow></msub><mo>)</mo></math></span> is maximal amenable if <em>N</em> is large enough, using the Asymptotic Orthogonality Property. This relies on a detailed study of the corresponding bimodule, for which we construct in particular a quantum analogue of Rădulescu's basis. As a byproduct we also obtain the value of the Pukánszky invariant for this MASA.</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"289 10","pages":"Article 111118"},"PeriodicalIF":1.7000,"publicationDate":"2025-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Maximal amenability of the radial subalgebra in free quantum group factors\",\"authors\":\"Roland Vergnioux , Xumin Wang\",\"doi\":\"10.1016/j.jfa.2025.111118\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>We show that the radial MASA in the orthogonal free quantum group algebra <span><math><mi>L</mi><mo>(</mo><mi>F</mi><msub><mrow><mi>O</mi></mrow><mrow><mi>N</mi></mrow></msub><mo>)</mo></math></span> is maximal amenable if <em>N</em> is large enough, using the Asymptotic Orthogonality Property. This relies on a detailed study of the corresponding bimodule, for which we construct in particular a quantum analogue of Rădulescu's basis. As a byproduct we also obtain the value of the Pukánszky invariant for this MASA.</div></div>\",\"PeriodicalId\":15750,\"journal\":{\"name\":\"Journal of Functional Analysis\",\"volume\":\"289 10\",\"pages\":\"Article 111118\"},\"PeriodicalIF\":1.7000,\"publicationDate\":\"2025-07-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Functional Analysis\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0022123625003003\",\"RegionNum\":2,\"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 Functional Analysis","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022123625003003","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

摘要

利用渐近正交性证明了当N足够大时，正交自由量子群代数L（FON）中的径向MASA是极大可服从的。这依赖于对相应双模的详细研究，为此我们特别构建了rrurdulescu基的量子模拟。作为一个副产品，我们也得到了这个MASA的Pukánszky不变量的值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Maximal amenability of the radial subalgebra in free quantum group factors

We show that the radial MASA in the orthogonal free quantum group algebra

L (F O_{N})

is maximal amenable if N is large enough, using the Asymptotic Orthogonality Property. This relies on a detailed study of the corresponding bimodule, for which we construct in particular a quantum analogue of Rădulescu's basis. As a byproduct we also obtain the value of the Pukánszky invariant for this MASA.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Journal of Functional Analysis 数学-数学

CiteScore

3.20

自引率

5.90%

发文量

271

审稿时长

7.5 months

期刊介绍： The Journal of Functional Analysis presents original research papers in all scientific disciplines in which modern functional analysis plays a basic role. Articles by scientists in a variety of interdisciplinary areas are published. Research Areas Include: • Significant applications of functional analysis, including those to other areas of mathematics • New developments in functional analysis • Contributions to important problems in and challenges to functional analysis