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

Authors

David Robertson, Syddansk Universitet, Denmark
Aidan Sims, University of WollongongFollow

RIS ID

29644

Publication Details

Robertson, D. & Sims, A. (2009). Simplicity of C*-algebras associated to row-finite locally convex higher-rank graphs. Israel Journal of Mathematics, 172 171-192.

Abstract

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