9 citations · 21 across the 12 of their papers we have counts for
13 papers · 1 filter
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…
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…
KMS states on generalised Bunce-Deddens algebras and their Toeplitz extensions
David Robertson, James Rout, Aidan Sims
We study the generalised Bunce-Deddens algebras and their Toeplitz extensions constructed by Kribs and Solel from a directed graph and a sequence of positive integers. We descr…
A new look at crossed product correspondences and associated C*-algebras
Erik Bédos, S. Kaliszewski, John Quigg +1
When a locally compact group acts on a C*-correspondence, it also acts on the associated Cuntz-Pimsner algebra in a natural way. Hao and Ng have shown that when the group is amenab…