Noncommutative manifolds from Graph and k-Graph C*-algebras

Authors

David A. Pask, dpask@uow.edu.auFollow
Adam Rennie, Australian National UniversityFollow
Aidan Sims, University of WollongongFollow

RIS ID

29389

Publication Details

Pask, D., Rennie, A. & Sims, A. (2009). Noncommutative manifolds from Graph and k-Graph C*-algebras. Communications in Mathematical Physics, 292 (3), 607-636.

Abstract

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.