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Simplicity of twisted $C^*$-algebras of higher-rank graphs and crossed products by quasifree actions

Simplicity of twisted $C^*$-algebras of higher-rank graphs and crossed products by quasifree actions

We characterise simplicity of twisted C^* -algebras of row-finite k -graphs with no sources. We show that each 2-cocycle on a cofinal k -graph determines a canonical second-cohomology class for the periodicity group of the graph. The groupoid of the k -graph then acts on the cartesian product of the …