16 papers
B(H) is not a twisted groupoid C*-algebra
Alcides Buss, Luiz Felipe Garcia, Tomás Pacheco
We show that for an infinite dimensional Hilbert space cannot be realized as the reduced twisted -algebra of any locally compact Hausdorff étale groupoid. The proo…
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 p…
Dynamics in large scale geometry
Bruno de Mendonça Braga, Alcides Buss, Ruy Exel
We investigate the large scale geometry of certain metric spaces through the lens of dynamics. Our approach establishes a close connection between large scale dynamical phenomena a…
Rapid decay and localizability for Fell bundles over etale Groupoids
Alcides Buss, Pradyut Karmakar
We introduce a notion of the Rapid Decay Property (RDP) for Fell bundles over locally compact Hausdorff étale groupoids, extending earlier rapid decay theories for étale groupoid…
Characterizations of amenability for noncommutative dynamical systems and Fell bundles
Alcides Buss, Damián Ferraro
We resolve key open questions regarding approximation properties and their permanence for Fell bundles over locally compact groups. Specifically, we establish the equivalence betwe…
A universal property for groupoid C*-algebras. II. Fell bundles
Alcides Buss, Rohit Holkar, Ralf Meyer
We define possibly unsaturated, upper semicontinuous Fell bundles over Hausdorff, locally compact groupoids and establish a universal property for representations of their full sec…