6 papers
Dynamical comparison for local homeomorphisms
Shirly Geffen, Shanshan Hua, Julian Kranz
We prove dynamical comparison for Deaconu--Renault groupoids associated to minimal surjective non-injective local homeomorphisms of compact metrizable spaces with finite Lebesgue c…
On groupoids beyond partial actions, inner amenability, and models for Kirchberg algebras
Alcides Buss, Julian Kranz
We construct the first explicit examples of locally compact Hausdorff étale groupoids that are not inner amenable and that do not arise as transformation groupoids associated to pa…
Exactness and Fell bundles with the approximation property over inverse semigroups
Changyuan Gao, Julian Kranz
We prove that the reduced cross-sectional algebra of a Fell bundle with the approximation property over an inverse semigroup is exact if and only if the unit fiber of the Fell bund…
Note on C*-algebras associated to boundary actions of hyperbolic 3-manifold groups
Shirly Geffen, Julian Kranz
Using Kirchberg-Phillips' classification of purely infinite C*-algebras by K-theory, we prove that the isomorphism types of crossed product C*-algebras associated to certain hyperb…
Actions on classifiable C*-algebras without equivariant property (SI)
Eusebio Gardella, Julian Kranz, Andrea Vaccaro
We exhibit examples of actions of countable discrete groups on both simple and non-simple nuclear stably finite C*-algebras that are tracially amenable but not amenable. We further…
Complex networks from space-filling bearings
J. J. Kranz, N. A. M. Araújo, J. S. Andrade +1
Two dimensional space-filling bearings are dense packings of disks that can rotate without slip. We consider the entire first family of bearings for loops of size four and propose…