3.3k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- University of Hawaii SystemUS184 papers
- California Institute of TechnologyUS177 papers
- Centre National de la Recherche ScientifiqueFR157 papers
- National Astronomical Observatory of JapanJP155 papers
- University of Hawaiʻi at MānoaUS129 papers
- Jet Propulsion LaboratoryUS122 papers
- The University of TokyoJP110 papers
- Max Planck Institute for AstronomyDE107 papers
- Goddard Space Flight CenterUS100 papers
- Princeton UniversityUS97 papers
- University of ArizonaUS93 papers
- Space Telescope Science InstituteUS91 papers
23 papers · 1 filter
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.
Reconstruction of groupoids and C*-rigidity of dynamical systems
Toke Meier Carlsen, Efren Ruiz, Aidan Sims +1
We show how to construct a graded locally compact Hausdorff étale groupoid from a C*-algebra carrying a coaction of a discrete group, together with a suitable abelian subalgebra. W…
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…
Invariance of the Cuntz splice
Søren Eilers, Gunnar Restorff, Efren Ruiz +1
We show that the Cuntz splice induces stably isomorphic graph -algebras.
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…
Corrigendum to "Classifying C*-algebras with both finite and infinite subquotients"
Søren Eilers, Gunnar Restorff, Efren Ruiz
As recently pointed out by Gabe, a fundamental paper by Elliott and Kucerovsky concerning the absorption theory for C*-algebras contains an error, and as a consequence we must repo…
Classification of real rank zero, purely infinite C*-algebras with at most four primitive ideals
Sara E. Arklint, Gunnar Restorff, Efren Ruiz
Counterexamples to classification of purely infinite, nuclear, separable C*-algebras (in the ideal-related bootstrap class) and with primitive ideal space X using ideal-related K-t…
The nuclear dimension of graph C*-algebras
Efren Ruiz, Aidan Sims, Mark Tomforde
Consider a graph C*-algebra C*(E) with a purely infinite ideal I (possibly all of C*(E)) such that I has only finitely many ideals and C*(E)/I is approximately finite dimensional.…
Automorphisms of Cuntz-Krieger algebras
Søren Eilers, Gunnar Restorff, Efren Ruiz
We prove that the natural homomorphism from Kirchberg's ideal-related KK-theory, KKE(e, e'), with one specified ideal, into Hom_Λ (\underline{K}_{E} (e), \underline{K}_{E} (e')) is…
Identifying AF-algebras that are graph C*-algebras
Soren Eilers, Takeshi Katsura, Efren Ruiz +1
We consider the problem of identifying exactly which AF-algebras are isomorphic to a graph C*-algebra. We prove that any separable, unital, Type I C*-algebra with finitely many ide…
Classification of graph C*-algebras with no more than four primitive ideals
Søren Eilers, Gunnar Restorff, Efren Ruiz
We describe the status quo of the classification problem of graph C*-algebras with four primitive ideals or less.
Pictures of KK-theory for real C*-algebras and almost commuting matrices
Jeffrey L. Boersema, Terry A. Loring, Efren Ruiz
We give a systematic account of the various pictures of KK-theory for real C*-algebras, proving natural isomorphisms between the groups that arise from each picture. As part of thi…
Corners of Cuntz-Krieger algebras
Sara E. Arklint, Efren Ruiz
We show that if is a unital -algebra and is a Cuntz-Krieger algebra for which , then is a Cuntz-Krieger algebra. Conse…
Filtrated K-theory for real rank zero C*-algebras
Sara Arklint, Gunnar Restorff, Efren Ruiz
Using Kirchberg KK_X-classification of purely infinite, separable, stable, nuclear C*-algebras with finite primitive ideal space, Bentmann showed that filtrated K-theory classifies…
Amplified graph C*-algebras
Søren Eilers, Efren Ruiz, Adam P. W. Sørensen
We provide a complete invariant for graph C*-algebras which are amplified in the sense that whenever there is an edge between two vertices, there are infinitely many. The invariant…
The ordered K-theory of a full extension
Søren Eilers, Gunnar Restorff, Efren Ruiz
Let A be a C*-algebra with real rank zero which has the stable weak cancellation property. Let I be an ideal of A such that I is stable and satisfies the corona factorization prope…
Classifying -algebras with both finite and infinite subquotients
Soren Eilers, Gunnar Restorff, Efren Ruiz
We give a classification result for a certain class of -algebras over a finite topological space in which there exists an open set of such that $U…
Nonsplitting in Kirchberg's ideal-related KK-theory
Soren Eilers, Gunnar Restorff, Efren Ruiz
A universal coefficient theorem in the setting of Kirchberg's ideal-related KK-theory was obtained in the fundamental case of a C*-algebra with one specified ideal by Bonkat and pr…
The Automorphism group of a simple tracially AI algebra
P. W. Ng, E. Ruiz
The structure of the automorphism group of a simple TAI algebra is studied. In particular, we show that $\frac{\bar{\mrm{Inn}} (A)}{\bar{\mrm{Inn}}_{0} (A)}$ is isomorphic (as a to…
Classification of Extensions of Classifiable C*-algebras
Soren Eilers, Gunnar Restorff, Efren Ruiz
We classify extensions of certain classifiable C*-algebras using the six term exact sequence in K-theory together with the positive cone of the K_0-groups of the distinguished idea…