Obstructions to a general characterization of graph correspondences

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


For a countable discrete space V, every nondegenerate separable C*-correspondence over c0(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.

Original languageEnglish (US)
Pages (from-to)169-188
Number of pages20
JournalJournal of the Australian Mathematical Society
Issue number2
StatePublished - Oct 2013


  • C*-correspondences
  • Hilbert modules
  • K-graphs
  • Topological graphs

ASJC Scopus subject areas

  • Mathematics(all)


Dive into the research topics of 'Obstructions to a general characterization of graph correspondences'. Together they form a unique fingerprint.

Cite this