Removing sources from higher-rank graphs

Abstract

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

34 pages, uses XY-pic, rewrote Theorem 3.24, added Theorem 3.26, corrected typos

References in corpus (3)

• Higher rank graph C*-algebras
• Simplicity of C*-algebras associated to higher-rank graphs
• On the K-theory of higher rank graph C*-algebras

Cited by in corpus (7)

• On the K-theory of higher rank graph C*-algebras
• Crossed products of k-graph C*-algebras by Z^l
• Simplicity of finitely-aligned k-graph C*-algebras
• Cohomology for small categories: $k$-graphs and groupoids
• Generalised morphisms of k-graphs: k-morphs
• Simplicity of C*-algebras associated to row-finite locally convex higher-rank graphs
• Primitive ideal space of Higher-rank graph $C^{\ast }$-algebras and decomposability