Simplicity of C*-algebras associated to row-finite locally convex higher-rank graphs

@article{Robertson2007SimplicityOC,
  title={Simplicity of C*-algebras associated to row-finite locally convex higher-rank graphs},
  author={David I. Robertson and Aidan Sims},
  journal={Israel Journal of Mathematics},
  year={2007},
  volume={172},
  pages={171-192}
}
In a previous work, the authors showed that the C*-algebra C*(Λ) of a row-finite higher-rank graph Λ with no sources is simple if and only if Λ is both cofinal and aperiodic. In this paper, we generalise this result to row-finite higher-rank graphs which are locally convex (but may contain sources). Our main tool is Farthing’s “removing sources” construction which embeds a row-finite locally convex higher-rank graph in a row-finite higher-rank graph with no sources in such a way that the… 
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30 Citations

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