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

Abstract

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

15 pages