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One-sided topological conjugacy of topological Markov shifts, continuous full groups and Cuntz–Krieger algebras.

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Title: One-sided topological conjugacy of topological Markov shifts, continuous full groups and Cuntz–Krieger algebras.
Authors: Matsumoto, Kengo1 (AUTHOR) kengo@juen.ac.jp
Source: Dynamical Systems: An International Journal. Dec2023, Vol. 38 Issue 4, p541-555. 15p.
Subjects: Continuous groups, Group algebras, Algebra, Topological algebras, Conjugacy classes, Orbits (Astronomy)
Abstract: We will characterize topologically conjugate one-sided topological Markov shifts in terms of their subgroups of continuous full groups and subalgebras of Cuntz–Krieger algebras. [ABSTRACT FROM AUTHOR]
Copyright of Dynamical Systems: An International Journal is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: One-sided topological conjugacy of topological Markov shifts, continuous full groups and Cuntz–Krieger algebras.
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  Data: <searchLink fieldCode="AR" term="%22Matsumoto%2C+Kengo%22">Matsumoto, Kengo</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> kengo@juen.ac.jp</i>
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  Data: <searchLink fieldCode="JN" term="%22Dynamical+Systems%3A+An+International+Journal%22">Dynamical Systems: An International Journal</searchLink>. Dec2023, Vol. 38 Issue 4, p541-555. 15p.
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  Data: <searchLink fieldCode="DE" term="%22Continuous+groups%22">Continuous groups</searchLink><br /><searchLink fieldCode="DE" term="%22Group+algebras%22">Group algebras</searchLink><br /><searchLink fieldCode="DE" term="%22Algebra%22">Algebra</searchLink><br /><searchLink fieldCode="DE" term="%22Topological+algebras%22">Topological algebras</searchLink><br /><searchLink fieldCode="DE" term="%22Conjugacy+classes%22">Conjugacy classes</searchLink><br /><searchLink fieldCode="DE" term="%22Orbits+%28Astronomy%29%22">Orbits (Astronomy)</searchLink>
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  Data: We will characterize topologically conjugate one-sided topological Markov shifts in terms of their subgroups of continuous full groups and subalgebras of Cuntz–Krieger algebras. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Dynamical Systems: An International Journal is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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    Identifiers:
      – Type: doi
        Value: 10.1080/14689367.2023.2218601
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 15
        StartPage: 541
    Subjects:
      – SubjectFull: Continuous groups
        Type: general
      – SubjectFull: Group algebras
        Type: general
      – SubjectFull: Algebra
        Type: general
      – SubjectFull: Topological algebras
        Type: general
      – SubjectFull: Conjugacy classes
        Type: general
      – SubjectFull: Orbits (Astronomy)
        Type: general
    Titles:
      – TitleFull: One-sided topological conjugacy of topological Markov shifts, continuous full groups and Cuntz–Krieger algebras.
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            NameFull: Matsumoto, Kengo
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            – D: 01
              M: 12
              Text: Dec2023
              Type: published
              Y: 2023
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              Value: 38
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            – TitleFull: Dynamical Systems: An International Journal
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