English

Ionescu's theorem for higher rank graphs

Operator Algebras 2015-12-07 v3

Abstract

We will define new constructions similar to the graph systems of correspondences described by Deaconu et al. We will use these to prove a version of Ionescu's theorem for higher rank graphs. Afterwards we will examine the properties of these constructions further and make contact with Yeend's topological k-graphs and the tensor groupoid valued product systems of Fowler and Sims.

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Cite

@article{arxiv.1405.5922,
  title  = {Ionescu's theorem for higher rank graphs},
  author = {S. Kaliszewski and Adam Morgan and John Quigg},
  journal= {arXiv preprint arXiv:1405.5922},
  year   = {2015}
}

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minor changes

R2 v1 2026-06-22T04:21:33.606Z