3 papers
math.OA2018
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…
math.OA2018
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…
math.KT2017
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…