# Gauge-Invariant Ideals in the C*-Algebras of Finitely Aligned Higher-Rank Graphs

@article{Sims2003GaugeInvariantII, title={Gauge-Invariant Ideals in the C*-Algebras of Finitely Aligned Higher-Rank Graphs}, author={Aidan Sims}, journal={Canadian Journal of Mathematics}, year={2003}, volume={58}, pages={1268 - 1290} }

Abstract We produce a complete description of the lattice of gauge-invariant ideals in ${{C}^{*}}(\Lambda )$ for a finitely aligned $k$ -graph $\Lambda $ . We provide a condition on $\Lambda $ under which every ideal is gauge-invariant. We give conditions on $\Lambda $ under which ${{C}^{*}}(\Lambda )$ satisfies the hypotheses of the Kirchberg–Phillips classification theorem.

## 151 Citations

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