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arxiv: 1312.0507 · v2 · pith:UHSBS4WMnew · submitted 2013-12-02 · 🧮 math.OA

The nuclear dimension of graph C*-algebras

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keywords dimensionnucleargraphidealsmanyalgebraalgebrasapproximately
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Consider a graph C*-algebra C*(E) with a purely infinite ideal I (possibly all of C*(E)) such that I has only finitely many ideals and C*(E)/I is approximately finite dimensional. We prove that the nuclear dimension of C*(E) is 1. If I has infinitely many ideals, then the nuclear dimension of C*(E) is either 1 or 2.

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