Semifinite spectral triples associated with graph C*-algebras
Operator Algebras
2007-07-27 v1
Abstract
We review the recent construction of semifinite spectral triples for graph C^*-algebras. These examples have inspired many other developments and we review some of these such as the relation between the semifinite index and the Kasparov product, examples of noncommutative manifolds, and an index theorem in twisted cyclic theory using a KMS state.
Keywords
Cite
@article{arxiv.0707.3853,
title = {Semifinite spectral triples associated with graph C*-algebras},
author = {Alan Carey and John Phillips and Adam Rennie},
journal= {arXiv preprint arXiv:0707.3853},
year = {2007}
}
Comments
to appear in `Traces in Geometry, Number Theory and Quantum Fields', published by Vieweg, eds S. Albeverio, M. Marcolli,