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arxiv: math/0701527 · v1 · submitted 2007-01-19 · 🧮 math.OA

Noncommutative manifolds from graph and k-graph C^*-algebras

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keywords algebrasgraphinftymanifoldsnoncommutativespectralsummabletriples
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In previous papers, we constructed smooth (1,\infty)-summable semfinite spectral triples for graph algebras with a faithful trace, and (k,\infty)-summable semifinite spectral triples for k-graph algebras. In this paper we identify classes of graphs and k-graphs which satisfy a version of Connes' conditions for noncommutative manifolds.

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