We produce a complete description of the lattice of gauge-invariant ideals inC*(Λ) for a finitely alignedk-graph Λ. We provide a condition on Λ under which every ideal is gauge-invariant. We give conditions on Λ under whichC*(Λ) satisfies the hypotheses of the Kirchberg–Phillips classification theorem.
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Aidan Sims (2006) studied this question.
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