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math.OA2026
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…
math.OA2026
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…
math.OA2026
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…