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arxiv: 0810.4567 · v1 · submitted 2008-10-25 · 🧮 math.OA

Simplicity of finitely-aligned k-graph C*-algebras

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keywords finitely-alignedlambdalocalperiodicityalgebrasallowsaperiodicityarbitrary
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It is shown that no local periodicity is equivalent to the aperiodicity condition for arbitrary finitely-aligned k-graphs. This allows us to conclude that C*(\Lambda) is simple if and only if \Lambda is cofinal and has no local periodicity.

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