9 citations · 21 across the 12 of their papers we have counts for
15 papers
Self-similar quantum groups
Nathan Brownlowe, David Robertson
We introduce the notion of self-similarity for compact quantum groups. For a finite set , we introduce a -algebra , which is the quantum automorphism group of…
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…
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…
Zappa-Szép product groupoids and C*-blends
Nathan Brownlowe, David Pask, Jacqui Ramagge +2
We study the external and internal Zappa-Szép product of topological groupoids. We show that under natural continuity assumptions the Zappa-Szép product groupoid is étale if and on…
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…
The extension class and KMS states for Cuntz--Pimsner algebras of some bi-Hilbertian bimodules
Adam Rennie, David Robertson, Aidan Sims
For bi-Hilbertian -bimodules, in the sense of Kajiwara--Pinzari--Watatani, we construct a Kasparov module representing the extension class defining the Cuntz--Pimsner algebra. T…