Noncommutative manifolds from graph and $k$-graph $C^*$-algebras
Operator Algebras
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/0701527,
title = {Noncommutative manifolds from graph and $k$-graph $C^*$-algebras},
author = {David Pask and Adam Rennie and Aidan Sims},
journal= {arXiv preprint arXiv:math/0701527},
year = {2007}
}
Comments
29 pages, 1 figure, uses picTeX