13 citations · 29 across the 8 of their papers we have counts for
12 papers
Correspondences between graph C*-algebras
Rasmus Bentmann, Ralf Meyer
We describe proper correspondences from graph C*-algebras to arbitrary C*-algebras by K-theoretic data. If the target C*-algebra is a graph C*-algebra as well, we may lift an isomo…
Extensions of Cuntz-Krieger algebras
Rasmus Bentmann
We show that a C*-algebra "looking like" a Cuntz-Krieger algebra is a Cuntz-Krieger algebra. This implies that, in an appropriate sense, the class of Cuntz-Krieger algebras is clos…
Cuntz Splice invariance for purely infinite graph algebras
Rasmus Bentmann
We show that the Cuntz Splice preserves the stable isomorphism class of a purely infinite graph C*-algebra with finitely many ideals.
A more general method to classify up to equivariant KK-equivalence
Rasmus Bentmann, Ralf Meyer
Using a homological invariant together with an obstruction class in a certain Ext^2-group, we may classify objects in triangulated categories that have projective resolutions of le…
The K-theoretical range of Cuntz-Krieger algebras
Sara E. Arklint, Rasmus Bentmann, Takeshi Katsura
We augment Restorff's classification of purely infinite Cuntz-Krieger algebras by describing the range of his invariant on purely infinite Cuntz-Krieger algebras. We also describe…
Classification of certain continuous fields of Kirchberg algebras
Rasmus Bentmann
We show that the K-theory cosheaf is a complete invariant for separable continuous fields with vanishing boundary maps over a finite-dimensional compact metrizable topological spac…