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Periodicity in Rank 2 Graph Algebras

Authors
  • Davidson, Kenneth R.
  • Yang, Dilian
Type
Preprint
Publication Date
May 30, 2007
Submission Date
May 30, 2007
Identifiers
arXiv ID: 0705.4499
Source
arXiv
License
Unknown
External links

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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