Simplicity of finitely-aligned k-graph C*-algebras

Abstract

It is shown that no local periodicity is equivalent to the aperiodicity condition for arbitrary finitely-aligned k-graphs. This allows us to conclude that C*(Λ) is simple if and only if Λis cofinal and has no local periodicity.

12 pages

References in corpus (4)

• Higher rank graph C*-algebras
• Simplicity of C*-algebras associated to higher-rank graphs
• Removing sources from higher-rank graphs
• Simplicity of C*-algebras associated to row-finite locally convex higher-rank graphs

Cited by in corpus (4)

• Realising the Toeplitz algebra of a higher-rank graph as a Cuntz-Krieger algebra
• When is the Cuntz-Krieger algebra of a higher-rank graph approximately finite-dimensional?
• Primitive ideal space of Higher-rank graph $C^{\ast }$-algebras and decomposability
• Simplicity of 2-graph algebras associated to Dynamical Systems