58 citations · 342 across the 36 of their papers we have counts for
7 papers · 2 filters
The complete classification of unital graph -algebras: Geometric and strong
Søren Eilers, Gunnar Restorff, Efren Ruiz +1
We provide a complete classification of the class of unital graph -algebras - prominently containing the full family of Cuntz-Krieger algebras - showing that Morita equivalenc…
Strong classification of purely infinite Cuntz-Krieger algebras
Toke Meier Carlsen, Gunnar Restorff, Efren Ruiz
In 2006, Restorff completed the classification of all Cuntz-Krieger algebras with finitely many ideals (i.e., those that are purely infinite) up to stable isomorphism. He left open…
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…
Geometric classification of graph -algebras over finite graphs
Søren Eilers, Gunnar Restorff, Efren Ruiz +1
We address the classification problem for graph -algebras of finite graphs (finitely many edges and vertices), containing the class of Cuntz-Krieger algebras as a prominent sp…
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…
Invariance of the Cuntz splice
Søren Eilers, Gunnar Restorff, Efren Ruiz +1
We show that the Cuntz splice induces stably isomorphic graph -algebras.