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  • Titel
    Cartan subalgebras of topological graph algebras and k-graph C*-algebras
  • Verfasser
    Brown, Jonathan ; Li, Hui ; Yang, Dilian
  • Enthalten in
    Münster Journal of Mathematics, H. Münster Journal of Mathematics, S. 367-381
  • Erschienen
    2017
  • Sprache
    Englisch
  • Dokumenttyp
    Aufsatz in einer Zeitschrift
  • URN
    urn:nbn:de:hbz:6-80299604204 
  • DOI
    10.17879/80299603770 
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Abstract
  • In this paper, two sufficient and necessary conditions are given. The first one considers the boundary path groupoid of a topological graph without singular vertices, and it characterizes when the interior of its isotropy group bundle is closed. The second one concerns the path groupoid of a row-finite k-graph without sources, and it demonstrates when the interior of its isotropy is closed. It follows that the associated topological graph algebra and the associated k-graph C*-algebra have Cartan subalgebras due to a result of Brown–Nagy–Reznikoff–Sims–Williams.
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