B. Jones

collaborators

5 papers

math.AT2026

Asymmetrically Weighted Dowker Persistence and Applications in Dynamical Systems

Tobias Timofeyev, Christopher Potvin, Benjamin Jones +3

By their nature it is difficult to differentiate chaotic dynamical systems through measurement. In recent years, work has begun on using methods of Topological Data Analysis (TDA)…

math.OA2026

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

Benjamin Jones

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

math.OA2026

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

Matthew Gillespie, Benjamin Jones, S. Kaliszewski +1

Given a coaction $I^´$ 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 $A$ …

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.OA2025

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 $d : I^ \to Ord$ by which morphisms of $I^$ factor. We use gen…

Asymmetrically Weighted Dowker Persistence and Applications in Dynamical Systems

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