# * -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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