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 C(Fθ ). The periodic C*algebras are characterized, and it is shown that C(Fθ ) ' C(T)⊗A where A is a simple C*-algebra. 

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Cite this paper

@inproceedings{Davidson2007PeriodicityIR, title={Periodicity in Rank 2 Graph Algebras}, author={Kenneth R. Davidson and Dilian Yang and Shaoquan Jiang}, year={2007} }