output
20082024
most citedEquivalence and stable isomorphism of groupoids, and diagonal-preserving stable isomorphisms of graph C*-algebras and Leavitt path algebras

58 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions
Showing 2016 · math.OAShow all

6 papers · 2 filters

math.OA2016★ 45 cited

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…

math.OA2016★ 41 cited

Diagonal-preserving gauge-invariant isomorphisms of graph -algebras

Toke Meier Carlsen, James Rout

We study graph -algebras equipped with generalised gauge actions, and characterise in terms of groupoids and groupoid cocycles when two graph -algebras are isomorphic by…

math.OA2016★ 6 cited

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…

math.OA2016★ 41 cited

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…

math.OA2016★ 4 cited

Invariance of the Cuntz splice

Søren Eilers, Gunnar Restorff, Efren Ruiz +1

We show that the Cuntz splice induces stably isomorphic graph -algebras.

math.OA2016★ 58 cited

Equivalence and stable isomorphism of groupoids, and diagonal-preserving stable isomorphisms of graph C*-algebras and Leavitt path algebras

Toke Meier Carlsen, Efren Ruiz, Aidan Sims

We prove that ample groupoids with sigma-compact unit spaces are equivalent if and only if they are stably isomorphic in an appropriate sense, and relate this to Matui's notion of…