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- W2962801239 abstract "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 infinite-path space of the graph with the dual group of the centre of any bicharacter representing this second-cohomology class. The twisted k-graph algebra is simple if and only if this action is minimal. We apply this result to characterise simplicity for many twisted crossed products of k-graph algebras by quasifree actions of free abelian groups." @default.
- W2962801239 created "2019-07-30" @default.
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- W2962801239 date "2016-01-01" @default.
- W2962801239 modified "2023-10-03" @default.
- W2962801239 title "Simplicity of twisted $C^*$-algebras of higher-rank graphs and crossed products by quasifree actions" @default.
- W2962801239 doi "https://doi.org/10.4171/jncg/241" @default.
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