13 citations · 39 across the 8 of their papers we have counts for
8 papers · 1 filter
Geometric classification of isomorphism of unital graph C*-algebras
Sara E. Arklint, Søren Eilers, Efren Ruiz
We geometrically describe the relation induced on a set of graphs by isomorphism of their associated graph C*-algebras as the smallest equivalence relation generated by five types…
A dynamical characterization of diagonal preserving -isomorphisms of graph -algebras
Sara E. Arklint, Søren Eilers, Efren Ruiz
We characterize when there exists a diagonal preserving -isomorphism between two graph -algebras in terms of the dynamics of the boundary path spaces. In particular, we ref…
Hereditary -subalgebras of graph -algebras
Sara E. Arklint, James Gabe, Efren Ruiz
We show that a -algebra which is stably isomorphic to a unital graph -algebra, is isomorphic to a graph -algebra if and only if it admits an approxima…
Classification of real rank zero, purely infinite C*-algebras with at most four primitive ideals
Sara E. Arklint, Gunnar Restorff, Efren Ruiz
Counterexamples to classification of purely infinite, nuclear, separable C*-algebras (in the ideal-related bootstrap class) and with primitive ideal space X using ideal-related K-t…
The K-theoretical range of Cuntz-Krieger algebras
Sara E. Arklint, Rasmus Bentmann, Takeshi Katsura
We augment Restorff's classification of purely infinite Cuntz-Krieger algebras by describing the range of his invariant on purely infinite Cuntz-Krieger algebras. We also describe…
Reduction of filtered K-theory and a characterization of Cuntz-Krieger algebras
Sara Arklint, Rasmus Bentmann, Takeshi Katsura
We show that filtered K-theory is equivalent to a substantially smaller invariant for all real-rank-zero C*-algebras with certain primitive ideal spaces -- including the infinitely…
Do phantom Cuntz-Krieger algebras exist?
Sara Arklint
If phantom Cuntz-Krieger algebras do not exist, then real rank zero Cuntz-Krieger algebras can be characterized by outer properties. In this survey paper, a summary of the known re…
Filtrated K-theory for real rank zero C*-algebras
Sara Arklint, Gunnar Restorff, Efren Ruiz
Using Kirchberg KK_X-classification of purely infinite, separable, stable, nuclear C*-algebras with finite primitive ideal space, Bentmann showed that filtrated K-theory classifies…