B. Jones

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20242026

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4 papers · 1 filter

math.OA2026

$C^{*}$ -correspondences for ordinal graphs

Benjamin Jones

We introduce a family of $C^{*}$ -correspondences $X_{α}$ naturally associated to every ordinal graph $Λ$ . When $Λ$ is a directed graph, $X_{0}$ is isomorphic to the usual $C^{*}$ -correspon…

math.OA2026

Comparing Two Notions of Coaction Invariance of Ideals in $C^{*}$ -Algebras

Matthew Gillespie, Benjamin Jones, S. Kaliszewski +1

Given a coaction $δ$ of a locally compact group $G$ on a $C^{*}$ -algebra $A$ , we study the relationship between two different forms of coaction invariance of ideals of $A$ a…

math.OA2025

Principal Actions on Topological Quivers and Associated Operator Dynamics

Matthew Gillespie, Lucas Hall, Benjamin Jones +1

We study topological quivers $Q$ admitting a free and proper action by a locally compact group $G$ together with their associated $C^{*}$ -algebras. On the topological side, we provid…

math.OA2024

Ordinal graphs and their $C^{*}$ -algebras

Benjamin Jones

We introduce a class of left cancellative categories we call ordinal graphs for which there is a functor $d : Λ \to Ord$ by which morphisms of $Λ$ factor. We use gener…

C∗-correspondences for ordinal graphs

Comparing Two Notions of Coaction Invariance of Ideals in C∗-Algebras

Principal Actions on Topological Quivers and Associated Operator Dynamics

Ordinal graphs and their C∗-algebras

$C^{*}$ -correspondences for ordinal graphs

Comparing Two Notions of Coaction Invariance of Ideals in $C^{*}$ -Algebras

Ordinal graphs and their $C^{*}$ -algebras