A dual graph construction for higher-rank graphs, and K-theory for finite 2-graphs

@inproceedings{Allen2004ADG,
  title={A dual graph construction for higher-rank graphs, and K-theory for finite 2-graphs},
  author={Stephen Allen and David Pask and Aidan Sims},
  year={2004}
}
Given a k-graph A and an element p of N k , we define the dual k-graph, pA. We show that when A is row-finite and has no sources, the C*-algebras C*(A) and C*(pA) coincide. We use this isomorphism to apply Robertson and Steger's results to calculate the K-theory of C*(A) when A is finite and strongly connected and satisfies the aperiodicity condition. 
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15 Citations
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15 Citations

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