Noncommutative Manifolds from Graph and <Emphasis Type="Italic">k</Emphasis>-Graph <Emphasis Type="Italic">C</Emphasis>*-Algebras |
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| Authors: | David Pask Adam Rennie and Aidan Sims |
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| Institution: | (1) School of Mathematical and Physical Sciences, University of Newcastle, Callaghan, NSW, 2308, Australia |
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| Abstract: | In PRen] we constructed smooth (1, ∞)-summable semifinite spectral triples for graph algebras with a faithful trace, and
in PRS] we constructed (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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