43 citations · 59 across the 6 of their papers we have counts for
6 papers
Nuclear dimension of subhomogeneous twisted groupoid C*-algebras and dynamic asymptotic dimension
Christian Bönicke, Kang Li
We characterise subhomogeneity for twisted étale groupoid C*-algebras and obtain an upper bound on their nuclear dimension. As an application, we remove the principality assumption…
Categorical approach to the Baum-Connes conjecture for étale groupoids
Christian Bönicke, Valerio Proietti
We consider the equivariant Kasparov category associated to an étale groupoid, and by leveraging its triangulated structure we study its localization at the "weakly contractible" o…
Dynamic asymptotic dimension and Matui's HK conjecture
Christian Bönicke, Clément Dell'Aiera, James Gabe +1
We prove that the homology groups of a principal ample groupoid vanish in dimensions greater than the dynamic asymptotic dimension of the groupoid (as a side-effect of our methods,…
Strict comparison for -algebras arising from Almost finite groupoids
Pere Ara, Christian Bönicke, Joan Bosa +1
In this paper we show that for an almost finite minimal ample groupoid , its reduced -algebra has real rank zero and strict comparison even though $C_r^…
The type semigroup, comparison and almost finiteness for ample groupoids
Pere Ara, Christian Bönicke, Joan Bosa +1
We prove that a minimal second countable ample groupoid has dynamical comparison if and only if its type semigroup is almost unperforated. Moreover, we investigate to what extent a…
Ideal structure and pure infiniteness of ample groupoid -algebras
Christian Bönicke, Kang Li
In this paper, we study the ideal structure of reduced -algebras associated to étale groupoids . In particular, we characterize when there is a one-to-one corres…