Journal of Operator Theory

Volume 60, Issue 1, Summer 2008 pp. 165-198.

Removing sources from higher-rank graphs

Authors: Cynthia Farthing
Author institution: Department of Mathematics, Creighton University, 2500 California Plaza, Omaha, NE 68178, U.S.A.

Summary: For a higher-rank graph $\Lambda$ with sources we detail a construction that creates a higher-rank graph $\overline{\Lambda}$ that does not have sources and contains $\Lambda$ as a subgraph. Furthermore, when $\Lambda$ is row-finite the Cuntz-Krieger algebra of $\Lambda$, $\cst(\Lambda)$ is a full corner of $\cst(\overline{\Lambda})$, the Cuntz-Krieger algebra of $\overline{\Lambda}$.

Keywords: $C^*$-algebras, higher-rank graphs, desingularization

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