45 citations · 233 across the 18 of their papers we have counts for
6 papers · 1 filter
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…
Filtered K-theory for graph algebras
Søren Eilers, Gunnar Restorff, Efren Ruiz +1
We introduce filtered algebraic -theory of a ring relative to a sublattice of ideals. This is done in such a way that filtered algebraic -theory of a Leavitt path algebra…
Flow equivalence and orbit equivalence for shifts of finite type and isomorphism of their groupoids
Toke Meier Carlsen, Søren Eilers, Eduard Ortega +1
We give conditions for when continuous orbit equivalence of one-sided shift spaces implies flow equivalence of the associated two-sided shift spaces. Using groupoid techniques, we…
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…
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…
Invariance of the Cuntz splice
Søren Eilers, Gunnar Restorff, Efren Ruiz +1
We show that the Cuntz splice induces stably isomorphic graph -algebras.