Journal of Operator Theory
Volume 67, Issue 2, Spring 2012 pp. 335-347.
Simplicity of finitely aligned k-graph C∗-algebrasAuthors: Jacob Shotwell
Author institution: Department of Mathematics and Statistics, Arizona State University, Tempe, AZ 85281, U.S.A.
Summary: It is shown that \textit{no local periodicity} is equivalent to the \textit{aperiodicity condition} for arbitrary finitely aligned k-graphs. This allows us to conclude that C∗(Λ) is simple if and only if Λ is cofinal and has no local periodicity.
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