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arXiv · 0705.4499

Periodicity in Rank 2 Graph Algebras

Kenneth R. Davidson·Dilian Yang
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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.

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Kenneth R. Davidson, Dilian Yang. 2007-05-31. Periodicity in Rank 2 Graph Algebras. https://doi.org/10.4153/cjm-2009-058-0

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