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In this paper we describe a new method of defining C[superscript *]-algebras from oriented combinatorial data, thereby generalizing the construction of algebras from directed graphs, higher-rank graphs, and ordered groups.

In this paper we describe a new method of defining C[superscript *]-algebras from oriented combinatorial data, thereby generalizing the construction of algebras from directed graphs, higher-rank graphs, and ordered groups. We show that only the most elementary notions of concatenation and cancellation of paths are required to define versions of Cuntz-Krieger and Toeplitz-Cuntz-Krieger algebras, and the presentation by generators and relations follows naturally.

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Date Created
  • 2014-11-01
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  • Text
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    Identifier
    • Digital object identifier: 10.1090/S0002-9947-2014-06008-X
    • Identifier Type
      International standard serial number
      Identifier Value
      1088-6850
    • Identifier Type
      International standard serial number
      Identifier Value
      0002-9947
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    This is a suggested citation. Consult the appropriate style guide for specific citation guidelines.

    Spielberg, Jack (2014). GROUPOIDS AND C*-ALGEBRAS FOR CATEGORIES OF PATHS. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 366(11), 5771-5819. http://dx.doi.org/10.1090/S0002-9947-2014-06008-X

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