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

David I. Robertson; Aidan Sims

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arXiv · 0708.0245

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

David I. Robertson·Aidan Sims

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Abstract

In previous work, the authors showed that the C*-algebra C*(Λ) of a row-finite higher-rank graph Λwith no sources is simple if and only if Λis 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 associated C*-algebras are Morita equivalent.

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BibTeX RIS

David I. Robertson, Aidan Sims. 2010-01-12. Simplicity of C*-algebras associated to row-finite locally convex higher-rank graphs. https://arxiv.org/abs/0708.0245

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