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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/122301In 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.29 pages, 1 figure, uses picTeXOperator Algebras46L87Noncommutative manifolds from graph and $k$-graph $C^*$-algebrastext