On morphisms of topological quivers

2025/06/30 by Mariusz Tobolski, Tobolski, Mariusz
Mathematics · #46L08 #46L55 #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.2506.23913

openalex publication_date 2025/06/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• From length-preserving pushouts of graphs to one-surjective pullbacks of graph algebras
• Inverse Systems of Groupoids, with Applications to Groupoid\n C^*-algebras
• C^*-algebras associated to C^*-correspondences and applications to\n mirror quantum spheres
• Topological Quivers
• Ideal structure of C^*-algebras associated with C^*-correspondences
• On C^*-algebras associated with C^*-correspondences
• C*-algebras associated with branched coverings

Related

• Topological Quivers
• On topological representation theory from quivers
• C*-algebras associated with topological group quivers I: generators, relations and spatial structure
• C*-algebras associated with topological group quivers II: K-groups
• Simplicity criterion for C^*-algebras associated with topological group quivers