English

On morphisms of topological quivers

Operator Algebras 2025-07-15 v2

Abstract

We introduce regular morphisms of topological quivers and show that they give rise to a subcategory of the category of topological quivers and quiver morphisms. Our regularity conditions render the topological quiver C*-algebra construction a contravariant functor from the category of topological quivers and regular morphisms into the category of C*-algebras and *-homomorphisms.

Keywords

Cite

@article{arxiv.2506.23913,
  title  = {On morphisms of topological quivers},
  author = {Mariusz Tobolski},
  journal= {arXiv preprint arXiv:2506.23913},
  year   = {2025}
}

Comments

11 pages; (acknowledgements added)