• Corpus ID: 17938597

* -algebras of Finitely Aligned Higher-rank Graphs

@inproceedings{Yeend2003O,
  title={* -algebras of Finitely Aligned Higher-rank Graphs},
  author={Trent Yeend},
  year={2003}
}
We generalise the theory of Cuntz-Krieger families and graph algebras to the class of finitely aligned k-graphs. This class contains in particular all row-finite k-graphs. The Cuntz-Krieger relations for non-row-finite k-graphs look significantly different from the usual ones, and this substantially complicates the analysis of the graph algebra. We prove a gauge-invariant uniqueness theorem and a Cuntz-Krieger uniqueness theorem for the C∗algebras of finitely aligned k-graphs. 
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30 Citations

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  • Dilian Yang
  • Mathematics
    Proceedings of the Edinburgh Mathematical Society
  • 2016
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