6 citations · 12 across the 13 of their papers we have counts for
14 papers
Pullbacks of Groupoid -Algebras over Disjoint Invariant Sets
Gilles G. de Castro, Eun Ji Kang
We establish a pullback theorem for \(C^*\)-algebras of locally compact Hausdorff étale groupoids. The theorem shows that, when the unit space is covered by two closed invariant su…
K-Theory and Structural Properties of -Algebras Associated with Relative Generalized Boolean Dynamical Systems
Toke Meier Carlsen, Eun Ji Kang
We present an explicit formula for the -theory of the -algebra associated with a relative generalized Boolean dynamical system $(\CB, \CL, θ, \CI_\af; \CJ)$. In particular,…
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…
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…
Representing topological full groups in Steinberg algebras and C*-algebras
Becky Armstrong, Lisa Orloff Clark, Mahya Ghandehari +2
We study the natural representation of the topological full group of an ample Hausdorff groupoid in the groupoid's complex Steinberg algebra and in its full and reduced C*-algebras…
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…
C*-algebras of generalized Boolean dynamical systems as partial crossed products
Gilles G. de Castro, Eun Ji Kang
In this paper, we realize C*-algebras of generalized Boolean dynamical systems as partial crossed products. Reciprocally, we give some sufficient conditions for a partial crossed p…
Boundary path groupoids of generalized Boolean dynamical systems and their C*-algebras
Gilles G. de Castro, Eun Ji Kang
In this paper, we provide two types of boundary path groupoids from a generalized Boolean dynamical system . For the first groupoid, we…
The simplicity of the C*-algebras associated to arbitrary labeled spaces
EunJi Kang
In this paper, we consider the simplicity of the C*-algebra associated to an arbitrary weakly left-resolving labeled space (E, L, E), where E is the smallest non-degenerate accommo…
Gauge-invariant ideals of C*-algebras of Boolean dynamical systems
Toke Meier Carlsen, Eun Ji Kang
We enlarge the class of -algebras of Boolean dynamical systems in order to include all weakly left-resolving normal labelled space -algebras in it. We prove a gauge-invar…
Condition (K) for Boolean dynamical systems
Toke Meier Carlsen, Eun Ji Kang
We generalize Condition (K) from directed graphs to Boolean dynamical systems and show that a locally finite Boolean dynamical system with countable $…
Purely infinite labeled graph -algebras
Ja A Jeong, Eun Ji Kang, Gi Hyun Park
In this paper, we consider pure infiniteness of generalized Cuntz-Krieger algebras associated to labeled spaces . It is shown that a -algebra $C^*…
Finite simple labeled graph -algebras of Cantor minimal subshifts
Ja A Jeong, Eun Ji Kang, Sun Ho Kim +1
It is now well known that a simple graph -algebra of a directed graph is either AF or purely infinite. In this paper, we address the question of whether this is t…
AF labeled graph -algebras
J. A. Jeong, E. J. Kang, S. H. Kim
It is known that a graph -algebra is approximately finite dimensional (AF) if and only if the graph has no loops. In this paper we consider the question of when a…