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arXiv · 1010.3185

Obstructions to a general characterization of graph correspondences

S. Kaliszewski·Nura Patani·John Quigg
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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.

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S. Kaliszewski, Nura Patani, John Quigg. 2012-06-20. Obstructions to a general characterization of graph correspondences. https://doi.org/10.1017/s1446788713000177

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