Noncommutative manifolds from Graph and k-Graph C*-algebrasCommunications in Mathematical Physics
Document TypeJournal Article
AbstractIn [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.
Citation InformationDavid A Pask, Adam Rennie and Aidan Sims. "Noncommutative manifolds from Graph and k-Graph C*-algebras" Communications in Mathematical Physics Vol. 292 (2009) p. 607 - 636
Available at: http://works.bepress.com/asims/12/