Noncommutative Manifolds from Graph and K-graph C * -algebras

نویسندگان

  • DAVID PASK
  • ADAM RENNIE
  • AIDAN SIMS
چکیده

In [PRen] we constructed smooth (1, ∞)-summable semfinite 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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تاریخ انتشار 2007