76 citations · 782 across the 86 of their papers we have counts for
7 papers · 1 filter
Reconstructing directed graphs from generalised gauge actions on their Toeplitz algebras
Nathan Brownlowe, Marcelo Laca, David Robertson +1
We show how to reconstruct a finite directed graph E from its Toeplitz algebra, its gauge action, and the canonical finite-dimensional abelian subalgebra generated by the vertex pr…
Equilibrium states on higher-rank Toeplitz noncommutative solenoids
Zahra Afsar, Astrid an Huef, Iain Raeburn +1
We consider a family of higher-dimensional noncommutative tori, which are twisted analogues of the algebras of continuous functions on ordinary tori, and their Toeplitz extensions.…
Ample groupoids: equivalence, homology, and Matui's HK conjecture
Carla Farsi, Alex Kumjian, David Pask +1
We investigate the homology of ample Hausdorff groupoids. We establish that a number of notions of equivalence of groupoids appearing in the literature coincide for ample Hausdorff…
The suspension of a graph, and associated C*-algebras
Aidan Sims
Given a directed graph E, we construct for each real number l a quiver whose vertex space is the topological realisation of E, and whose edges are directed paths of length l in the…
Simplicity of algebras associated to non-Hausdorff groupoids
Lisa Orloff Clark, Ruy Exel, Enrique Pardo +2
We prove a uniqueness theorem and give a characterization of simplicity for Steinberg algebras associated to non-Hausdorff ample groupoids. We also prove a uniqueness theorem and g…
Poincare duality for Cuntz-Pimsner algebras of bimodules
A. Rennie, D. Robertson, A. Sims
We present a new approach to Poincare duality for Cuntz-Pimsner algebras. We provide sufficient conditions under which Poincare self-duality for the coefficient algebra of a Hilber…