• Corpus ID: 13536386

Higher Rank Graph C-Algebras

@article{Kumjian2000HigherRG,
  title={Higher Rank Graph C-Algebras},
  author={Alex Kumjian and David Pask},
  journal={arXiv: Operator Algebras},
  year={2000}
}
Building on recent work of Robertson and Steger, we associate a C{algebra to a combinatorial object which may be thought of as a higher rank graph. This C{algebra is shown to be isomorphic to that of the associ- ated path groupoid. Various results in this paper give sucient conditions on the higher rank graph for the associated C{algebra to be: simple, purely in- nite and AF. Results concerning the structure of crossed products by certain natural actions of discrete groups are obtained; a… 
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160 Citations
Highly Influential Citations
23
Background Citations
49
Methods Citations
30
Results Citations
5

160 Citations

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  • D. KribsS. Power
  • Mathematics
    Mathematical Proceedings of the Royal Irish Academy
  • 2006
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