On morphisms of topological quivers
Mariusz Tobolski

TL;DR
This paper introduces regular morphisms of topological quivers, establishing a subcategory and demonstrating that the associated C*-algebra construction is a contravariant functor, enriching the categorical framework of topological quivers.
Contribution
It defines regular morphisms for topological quivers and shows these induce a functor to C*-algebras, expanding the categorical understanding of quiver C*-algebras.
Findings
Regular morphisms form a subcategory of topological quivers.
The C*-algebra construction is a contravariant functor.
Establishes categorical relationships between quivers and C*-algebras.
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.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology
