15 citations · 34 across the 8 of their papers we have counts for
10 papers · 1 filter
Partial C*-dynamics and Rokhlin dimension
Fernando Abadie, Eusebio Gardella, Shirly Geffen
We develop the notion of Rokhlin dimension for partial actions of finite groups, extending the well-established theory for global systems. The partial setting exhibits phenomena th…
Decomposable partial actions
Fernando Abadie, Eusebio Gardella, Shirly Geffen
We define the decomposition property for partial actions of discrete groups on -algebras. Decomposable partial systems appear naturally in practice, and many commonly occurrin…
Amenability and approximation properties for partial actions and Fell bundles
Fernando Abadie, Alcides Buss, Damián Ferraro
Building on previous papers by Anantharaman-Delaroche (AD) we introduce and study the notion of AD-amenability for partial actions and Fell bundles over discrete groups. We prove t…
Morita enveloping Fell bundles
Fernando Abadie, Alcides Buss, Damián Ferraro
We introduce notions of weak and strong equivalence for non-saturated Fell bundles over locally compact groups and show that every Fell bundle is strongly (resp. weakly) equivalent…
Equivalence of Fell bundles over groups
Fernando Abadie, Damián Ferraro
We give a notion of equivalence for Fell bundles over groups, not necessarily saturated nor separable, and show that equivalent Fell bundles have Morita-Rieffel equivalent cross-se…
Applications of ternary rings to -algebras
Fernando Abadie, Damián Ferraro
We show that there is a functor from the category of positive admissible ternary rings to the category of -algebras, which induces an isomorphism of partially ordered sets betwe…