{"title":"混合 q$ 变形荒木因子的完整公制近似性质","authors":"Panchugopal Bikram, Rajeeb Mohanta, Kunal Krishna Mukherjee","doi":"arxiv-2407.10619","DOIUrl":null,"url":null,"abstract":"The main result of this paper is to establish the $\\text{weak}^*$ completely\nmetric approximation property ($w^*$-CMAP) for the mixed $q$-deformed\nAraki-Woods factors for all symmetric matrices with entries $-1< q_{i,j}< 1$,\nusing an ultraproduct embedding of the mixed $q$-deformed Araki-Woods factors.","PeriodicalId":501114,"journal":{"name":"arXiv - MATH - Operator Algebras","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Complete Metric Approximation Property For Mixed $q$-Deformed Araki-Woods Factors\",\"authors\":\"Panchugopal Bikram, Rajeeb Mohanta, Kunal Krishna Mukherjee\",\"doi\":\"arxiv-2407.10619\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The main result of this paper is to establish the $\\\\text{weak}^*$ completely\\nmetric approximation property ($w^*$-CMAP) for the mixed $q$-deformed\\nAraki-Woods factors for all symmetric matrices with entries $-1< q_{i,j}< 1$,\\nusing an ultraproduct embedding of the mixed $q$-deformed Araki-Woods factors.\",\"PeriodicalId\":501114,\"journal\":{\"name\":\"arXiv - MATH - Operator Algebras\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-07-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Operator Algebras\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2407.10619\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Operator Algebras","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.10619","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Complete Metric Approximation Property For Mixed $q$-Deformed Araki-Woods Factors
The main result of this paper is to establish the $\text{weak}^*$ completely
metric approximation property ($w^*$-CMAP) for the mixed $q$-deformed
Araki-Woods factors for all symmetric matrices with entries $-1< q_{i,j}< 1$,
using an ultraproduct embedding of the mixed $q$-deformed Araki-Woods factors.
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