# 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}
}
• A. Sims
• Published 27 May 2003
• Mathematics
• Canadian Journal of Mathematics
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.
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