{"title":"The category of compact quantum metric spaces","authors":"Botao Long, W. W","doi":"10.1142/s0219025722500047","DOIUrl":null,"url":null,"abstract":"A compact quantum metric space is a complete order unit space endowed with a Lip-norm. We introduce a metric on the state space and give several equivalent conditions to characterize the Lipschitz morphisms and Lipschitz isomorphisms between two compact quantum metric spaces.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1142/s0219025722500047","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
A compact quantum metric space is a complete order unit space endowed with a Lip-norm. We introduce a metric on the state space and give several equivalent conditions to characterize the Lipschitz morphisms and Lipschitz isomorphisms between two compact quantum metric spaces.
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