7 citations · 7 across the 5 of their papers we have counts for
5 papers
Coarse geometry of Hecke pairs and the Baum-Connes conjecture
Clément Dell'Aiera
We study Hecke pairs using the coarse geometry of their coset space and their Schlichting completion. We prove new stability results for the Baum-Connes and the Novikov conjectures…
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,…
Topological property (T) for groupoids
Clément Dell'Aiera, Rufus Willett
We introduce a notion of topological property (T) for étale groupoids. This simultaneously generalizes Kazhdan's property (T) for groups and geometric property (T) for coarse space…
Going-Down functors and the Künneth formula for crossed products by étale groupoids
Christian Bönicke, Clément Dell'Aiera
We study the connection between the Baum-Connes conjecture for an ample groupoid with coefficient and the Künneth formula for the K-theory of tensor products by the crossed…
Controlled K-theory for groupoids and applications to Coarse Geometry
Clément Dell'Aiera
We develop a generalization of quantitative -theory, which we call controlled -theory. It is powerful enough to study the -theory of crossed product of -algebras by a…