3 papers
math.OA2024
A Categorical Interpretation of Continuous Orbit Equivalence for Partial Dynamical Systems
Gilles G. de Castro, Eun Ji Kang
We define the orbit morphism of partial dynamical systems and prove that an orbit morphism being an isomorphism in the category of partial dynamical systems and orbit morphisms is…
math.OA2023
A generalized uniqueness theorem for generalized Boolean dynamical systems
Eun Ji Kang
We characterize the canonical diagonal subalgebra of the C*-algebra associated with a generalized Boolean dynamical system. We also introduce a particular commutative subalgebra, w…
math.OA2023
A Cuntz--Krieger Uniqueness theorem for C*-algebras of relative generalized Boolean dynamical systems
Toke Meier Carlsen, Eun Ji Kang
We prove a version of the Cuntz--Krieger Uniqueness Theorem for -algebras of arbitrary relative generalized Boolean dynamical systems. We then describe properties of a -a…