Periodicity in Rank 2 Graph Algebras
Operator Algebras
2019-08-15 v1
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 . The periodic C*-algebras are characterized, and it is shown that where is a simple C*-algebra.
Keywords
Cite
@article{arxiv.0705.4499,
title = {Periodicity in Rank 2 Graph Algebras},
author = {Kenneth R. Davidson and Dilian Yang},
journal= {arXiv preprint arXiv:0705.4499},
year = {2019}
}