Periodicity in Rank 2 Graph Algebras

Abstract

Kumjian and Pask introduced an aperiodicity condition for higher rank graphs. We present a detailed analysis of when this occurs in certain rank 2 graphs. When the algebra is aperiodic, we give another proof of the simplicity of $\ca(\Fth)$. The periodic C*-algebras are characterized, and it is shown that $\ca(\Fth) \simeq \rC(\bT) \otimes \fA$ where $\fA$ is a simple C*-algebra.

27 pages

References in corpus (3)

• Higher rank graph C*-algebras
• Simplicity of C*-algebras associated to higher-rank graphs
• Gauge-invariant ideals in the C*-algebras of finitely aligned higher-rank graphs

Cited by in corpus (34)

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