78 citations · 180 across the 18 of their papers we have counts for
20 papers
AF-action groupoid models for diagonal AH-algebras
Ali Imad Raad, Jonathan Taylor
We show that an inductive AH-system with diagonal connecting maps describes an action of the canonical AF-groupoid on the spectrum of the canonical C-diagonal, and that the can…
Limits in categories of étale groupoids and pseudogroups
Jonathan Taylor
We show that the category of sober étale groupoids and actors admits all small limits. This is achieved by computing the limits in the equivalent category of pseudogroups with pseu…
Functoriality for groupoid and Fell bundle -algebras
Jonathan Taylor
We define a class of morphisms between étale groupoids and show that there is a functor from the category with these morphisms to the category of -algebras. We show that all h…
Essential Cartan subalgebras of -algebras
Jonathan Taylor
We define essential commutative Cartan pairs of -algebras generalising the definition of Renault and show that such pairs are given by essential twisted groupoid -algebra…
Inductive Limits of Noncommutative Cartan Inclusions
Ralf Meyer, Ali Imad Raad, Jonathan Taylor
We prove that an inductive limit of aperiodic noncommutative Cartan inclusions is a noncommutative Cartan inclusion whenever the connecting maps are injective, preserve normalisers…
Localised Hilbert modules and weak noncommutative Cartan pairs
Jonathan Taylor
We define the localisation of a Hilbert module in analogy to the local multiplier algebra. We use properties of this localisation to enrich non-closed actions on -algebras to…