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Higher-rank graphs, or k-graphs, are higher-dimensional analogues of directed graphs, and as with ordinary directed graphs, there are various C*-algebraic objects that can be associated with them. This thesis adopts

Higher-rank graphs, or k-graphs, are higher-dimensional analogues of directed graphs, and as with ordinary directed graphs, there are various C*-algebraic objects that can be associated with them. This thesis adopts a functorial approach to study the relationship between k-graphs and their associated C*-algebras. In particular, two functors are given between appropriate categories of higher-rank graphs and the category of C*-algebras, one for Toeplitz algebras and one for Cuntz-Krieger algebras.

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    Date Created
    • 2016
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  • Text
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    • Partial requirement for: M.A., Arizona State University, 2016
      Note type
      thesis
    • Includes bibliographical references (pages 46-47)
      Note type
      bibliography
    • Field of study: Mathematics

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    by Keenan Eikenberry

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