Simplicity of the C*-algebras of skew product k-graphs

2013/06/25 by Maloney, Ben, Pask, David
#46L55 #47L55 #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1306.6107

Abstract

We consider conditions on a k-graph Λ, a semigroup S and a functor η: Λ→ S which ensure that the C^*-algebra of the skew-product graph Λ×_ηS is simple. Our results allow give some necessary and sufficient conditions for the AF-core of a k-graph C^*-algebra to be simple.

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