{"title":"Aspects of noncommutative geometry of Bunce–Deddens algebras","authors":"Slawomir Klimek, Matt McBride, J. Wilson Peoples","doi":"10.4171/jncg/521","DOIUrl":null,"url":null,"abstract":"We define and study smooth subalgebras of Bunce–Deddens C∗-algebras. We discuss various aspects of noncommutative geometry of Bunce–Deddens algebras including derivations on smooth subalgebras, as well as $K$-theory and $K$-homology.","PeriodicalId":54780,"journal":{"name":"Journal of Noncommutative Geometry","volume":"17 1","pages":"0"},"PeriodicalIF":0.7000,"publicationDate":"2023-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Noncommutative Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4171/jncg/521","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We define and study smooth subalgebras of Bunce–Deddens C∗-algebras. We discuss various aspects of noncommutative geometry of Bunce–Deddens algebras including derivations on smooth subalgebras, as well as $K$-theory and $K$-homology.
期刊介绍：
The Journal of Noncommutative Geometry covers the noncommutative world in all its aspects. It is devoted to publication of research articles which represent major advances in the area of noncommutative geometry and its applications to other fields of mathematics and theoretical physics. Topics covered include in particular:
Hochschild and cyclic cohomology
K-theory and index theory
Measure theory and topology of noncommutative spaces, operator algebras
Spectral geometry of noncommutative spaces
Noncommutative algebraic geometry
Hopf algebras and quantum groups
Foliations, groupoids, stacks, gerbes
Deformations and quantization
Noncommutative spaces in number theory and arithmetic geometry
Noncommutative geometry in physics: QFT, renormalization, gauge theory, string theory, gravity, mirror symmetry, solid state physics, statistical mechanics.
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