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

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

2007-01-19

arxiv.org/abs/math/0701527v1

Mathematics

Operator Algebras

29 pages, 1 figure, uses picTeX

Scientific paper

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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