Obstructions to a general characterization of graph correspondences
Operator Algebras
2014-01-14 v2
Abstract
For a countable discrete space V, every nondegenerate separable C*-correspondence over c_0(V) is isomorphic to one coming from a directed graph with vertex set V. In this paper we demonstrate why the analogous characterizations fail to hold for higher-rank graphs (where one considers product systems of C*-correspondences) and for topological graphs (where V is locally compact Hausdorff), and we discuss the obstructions that arise.
Cite
@article{arxiv.1010.3185,
title = {Obstructions to a general characterization of graph correspondences},
author = {S. Kaliszewski and Nura Patani and John Quigg},
journal= {arXiv preprint arXiv:1010.3185},
year = {2014}
}
Comments
major revision; stated some results in greater generality