58 citations · 342 across the 36 of their papers we have counts for
45 papers
Diagonal-preserving Isomorphisms of Algebras from Infinite Graphs
Søren Eilers, Efren Ruiz
We establish logical equivalence between statements involving * the Cuntz C*-algebra with its canonical diagonal; * graph C*-algebras with their canonical diago…
Morita equivalence for graded rings
Gene Abrams, Efren Ruiz, Mark Tomforde
The classical Morita Theorem for rings established the equivalence of three statements, involving categorical equivalences, isomorphisms between corners of finite matrix rings, and…
Amplified graph C*-algebras II: reconstruction
Søren Eilers, Efren Ruiz, Aidan Sims
Let be a countable directed graph that is amplified in the sense that whenever there is an edge from to , there are infinitely many edges from to . We show that $…
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…
Refined moves for structure-preserving isomorphism of graph C*-algebras
Søren Eilers, Efren Ruiz
We formalize eight different notions of isomorphism among (unital) graph C*-algebras, and initiate the study of which of these notions may be described geometrically as generated b…
The extension problem for graph -algebras
Søren Eilers, James Gabe, Takeshi Katsura +2
We give a complete -theoretical description of when an extension of two simple graph -algebras is again a graph -algebra.