{"title":"A latticed total K-theory","authors":"Qingnan An, Chunguang Li, Zhichao Liu","doi":"arxiv-2408.15941","DOIUrl":null,"url":null,"abstract":"In this paper, a new invariant was built towards the classification of\nseparable C*-algebras of real rank zero, which we call latticed total K-theory.\nA classification theorem is given in terms of such an invariant for a large\nclass of separable C*-algebras of real rank zero arising from the extensions of\nfinite and infinite C*-algebras. Many algebras with both finite and infinite\nprojections can be classified.","PeriodicalId":501114,"journal":{"name":"arXiv - MATH - Operator Algebras","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-08-28","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-2408.15941","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
In this paper, a new invariant was built towards the classification of
separable C*-algebras of real rank zero, which we call latticed total K-theory.
A classification theorem is given in terms of such an invariant for a large
class of separable C*-algebras of real rank zero arising from the extensions of
finite and infinite C*-algebras. Many algebras with both finite and infinite
projections can be classified.
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