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Higher-Rank Graph C *-Algebras: An Inverse Semigroup and Groupoid Approach

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Abstract

We provide inverse semigroup and groupoid models for the Toeplitz and Cuntz-Krieger algebras of finitely aligned higher-rank graphs. Using these models, we prove a uniqueness theorem for the Cuntz-Krieger algebra.

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Author notes

  1. Cynthia Farthing

    Present address: Department of Mathematics, University of Nebraska at Lincoln, Lincoln, NE 68588, USA

Authors and Affiliations

  1. Department of Mathematics, University of Iowa, Iowa City, IA 52242, USA

    Cynthia Farthing & Paul S. Muhly

  2. Department of Mathematics, University of Newcastle, Callaghan, NSW 2308, Australia

    Trent Yeend

Authors
  1. Cynthia Farthing
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  2. Paul S. Muhly
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  3. Trent Yeend
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Correspondence to Cynthia Farthing, Paul S. Muhly or Trent Yeend.

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Farthing, C., Muhly, P. & Yeend, T. Higher-Rank Graph C *-Algebras: An Inverse Semigroup and Groupoid Approach. Semigroup Forum 71, 159–187 (2005). https://doi.org/10.1007/s00233-005-0512-2

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  • DOI: https://doi.org/10.1007/s00233-005-0512-2

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