English

You Can See the Arrows in a Quiver Operator Algebra

Operator Algebras 2007-05-23 v1

Abstract

We prove that two quiver operator algebras can be isometrically isomorphic only if the quivers (=directed graphs) are isomorphic. We also show how the graph can be recovered from certain representations of the algebra.

Keywords

Cite

@article{arxiv.math/0309420,
  title  = {You Can See the Arrows in a Quiver Operator Algebra},
  author = {Baruch Solel},
  journal= {arXiv preprint arXiv:math/0309420},
  year   = {2007}
}

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Latex file

R2 v1 2026-07-22T16:58:07.322Z