Noncommutative manifolds from graph and k-graph C*-algebras
Abstract
In previous papers, we constructed smooth (1,∞)-summable semfinite spectral triples for graph algebras with a faithful trace, and (k,∞)-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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