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.

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Showing 2016Show all

11 papers · 1 filter

math.RA2016★ 21 cited

Diagonal-preserving graded isomorphisms of Steinberg algebras

Toke Meier Carlsen, James Rout

We study Steinberg algebras constructed from ample Hausdorff groupoids over commutative integral domains with identity. We reconstruct (graded) groupoids from (graded) Steinberg al…

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.RA2016★ 7 cited

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…

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.DS2016★ 36 cited

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…

math.DS2016★ 16 cited

Orbit equivalence of graphs and isomorphism of graph groupoids

Toke Meier Carlsen, Marius Lie Winger

We show that the groupoids of two directed graphs are isomorphic if and only if the two graphs are orbit equivalent by an orbit equivalence that preserves isolated eventually perio…

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…

math.RA2016★ 15 cited

-isomorphism of Leavitt path algebras over

Toke Meier Carlsen

We characterise when the Leavitt path algebras over of two arbitrary countable directed graphs are -isomorphic by showing that two Leavitt path algebras over $\math…