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Search: All articles in the CJM digital archive with keyword Graphs as categories

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1. CJM 2006 (vol 58 pp. 1268)

Sims, Aidan
Gauge-Invariant Ideals in the $C^*$-Algebras of Finitely Aligned Higher-Rank Graphs
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.

Keywords:Graphs as categories, graph algebra, $C^*$-algebra
Category:46L05

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