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

Ben Maloney; David Pask

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arXiv · 1306.6107

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

Ben Maloney·David Pask

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Abstract

We consider conditions on a $k$-graph $\Lambda$, a semigroup $S$ and a functor $\eta : \Lambda \to S$ which ensure that the $C^*$-algebra of the skew-product graph $\Lambda \times_\eta S$ 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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Ben Maloney, David Pask. 2013-06-25. Simplicity of the C*-algebras of skew product k-graphs. https://arxiv.org/abs/1306.6107

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