3 papers
math.OA2026
Comparing Two Notions of Coaction Invariance of Ideals in -Algebras
Matthew Gillespie, Benjamin Jones, S. Kaliszewski +1
Given a coaction of a locally compact group on a -algebra , 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 admitting a free and proper action by a locally compact group together with their associated -algebras. On the topological side, we provid…
math.OA2024
Bijections Between Sets of Invariant Ideals, Via the Ladder Technique
Matthew Gillespie, S. Kaliszewski, John Quigg +1
We present a new method of establishing a bijective correspondence - in fact, a lattice isomorphism - between action- and coaction-invariant ideals of C*-algebras and their crossed…