76 citations · 782 across the 86 of their papers we have counts for
8 papers · 2 filters
A Stabilization Theorem for Fell Bundles over groupoids
Marius Ionescu, Alex Kumjian, Aidan Sims +1
We study the -algebras associated to upper-semicontinuous Fell bundles over second-countable Hausdorff groupoids. Based on ideas going back to the Packer--Raeburn "Stabilizati…
On Hong and Szymanski's description of the primitive-ideal space of a graph algebra
Toke Meier Carlsen, Aidan Sims
In 2004, Hong and Szymanski gave a complete description of the primitive-ideal space of the C*-algebra of a directed graph. This article details a slightly different approach, in t…
AF-embeddability of -graph algebras and quasidiagonality of -graph algebras
Lisa Orloff Clark, Astrid an Huef, Aidan Sims
We characterise quasidiagonality of the -algebra of a cofinal -graph in terms of an algebraic condition involving the coordinate matrices of the graph. This result covers a…
Purely infinite simple C*-algebras that are principal groupoid C*-algebras
Jonathan H. Brown, Lisa Orloff Clark, Adam Sierakowski +1
From a suitable groupoid G, we show how to construct an amenable principal groupoid whose C*-algebra is a Kirchberg algebra which is KK-equivalent to C*(G). Using this construction…
Real rank and topological dimension of higher rank graph algebras
David Pask, Adam Sierakowski, Aidan Sims
We study dimension theory for the -algebras of row-finite -graphs with no sources. We establish that strong aperiodicity - the higher-rank analogue of condition (K) - for a…
Groupoid Fell bundles for product systems over quasi-lattice ordered groups
Adam Rennie, David Robertson, Aidan Sims
Consider a product system over the positive cone of a quasi-lattice ordered group. We construct a Fell bundle over an associated groupoid so that the cross-sectional algebra of the…