{"title":"当泛分离图$C^*$-代数是精确的","authors":"B. Duncan","doi":"10.31392/mfat-npu26_2.2020.05","DOIUrl":null,"url":null,"abstract":"We consider when the universal C∗-algebras associated to separated graphs are exact. Specifically, for finite separated graphs we show that the universal C∗-algebra is exact if and only if the C∗-algebra is isomorphic to a graph C∗-algebra which occurs precisely when the universal and reduced C∗-algebras of the separated graph are isomorphic.","PeriodicalId":44325,"journal":{"name":"Methods of Functional Analysis and Topology","volume":"26 1","pages":"126-140"},"PeriodicalIF":0.2000,"publicationDate":"2020-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"When universal separated graph $C^*$-algebras are exact\",\"authors\":\"B. Duncan\",\"doi\":\"10.31392/mfat-npu26_2.2020.05\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider when the universal C∗-algebras associated to separated graphs are exact. Specifically, for finite separated graphs we show that the universal C∗-algebra is exact if and only if the C∗-algebra is isomorphic to a graph C∗-algebra which occurs precisely when the universal and reduced C∗-algebras of the separated graph are isomorphic.\",\"PeriodicalId\":44325,\"journal\":{\"name\":\"Methods of Functional Analysis and Topology\",\"volume\":\"26 1\",\"pages\":\"126-140\"},\"PeriodicalIF\":0.2000,\"publicationDate\":\"2020-06-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Methods of Functional Analysis and Topology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.31392/mfat-npu26_2.2020.05\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Methods of Functional Analysis and Topology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31392/mfat-npu26_2.2020.05","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
When universal separated graph $C^*$-algebras are exact
We consider when the universal C∗-algebras associated to separated graphs are exact. Specifically, for finite separated graphs we show that the universal C∗-algebra is exact if and only if the C∗-algebra is isomorphic to a graph C∗-algebra which occurs precisely when the universal and reduced C∗-algebras of the separated graph are isomorphic.
期刊介绍:
Methods of Functional Analysis and Topology (MFAT), founded in 1995, is a peer-reviewed arXiv overlay journal publishing original articles and surveys on general methods and techniques of functional analysis and topology with a special emphasis on applications to modern mathematical physics.