3.2k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- The Dodd-Walls Centre for Photonic and Quantum TechnologiesNZ255 papers
- The University of QueenslandAU54 papers
- University of OxfordGB27 papers
- Centre National de la Recherche ScientifiqueFR25 papers
- MacDiarmid Institute for Advanced Materials and NanotechnologyNZ24 papers
- Australian National UniversityAU23 papers
- California Institute of TechnologyUS21 papers
- University of WollongongAU19 papers
- ARC Centre of Excellence for Engineered Quantum SystemsAU18 papers
- University of ArizonaUS18 papers
- University of AucklandNZ18 papers
- University of California, BerkeleyUS17 papers
26 papers · 1 filter
KMS states on -algebras associated to a family of -commuting local homeomorphisms
Zahra Afsar, Astrid an Huef, Iain Raeburn
We consider a family of -commuting local homeomorphisms on a compact space, and build a compactly aligned product system of Hilbert bimodules (in the sense of Fowler). This prod…
Deformations of Fell bundles and twisted graph algebras
Iain Raeburn
We consider Fell bundles over discrete groups, and the C*-algebra which is universal for representations of the bundle. We define deformations of Fell bundles, which are new Fell b…
Equilibrium states on graph algebras
Astrid an Huef, Iain Raeburn
We consider operator-algebraic dynamical systems given by actions of the real line on unital -algebras, and especially the equilibrium states (or KMS states) of such systems.…
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…
Centre-valued index for Toeplitz operators with noncommuting symbols
John Phillips, Iain Raeburn
We consider an action of the real line on a C*-algebra for which there is a centre-valued invariant trace. We define a family of Toeplitz operators with symbols in the original alg…
Spatial realisations of KMS states on the C*-algebras of higher-rank graphs
Astrid an Huef, Sooran Kang, Iain Raeburn
Several authors have recently been studying the equilibrium or KMS states on the Toeplitz algebras of finite higher-rank graphs. For graphs of rank one (that is, for ordinary direc…
KMS states on the C*-algebra of a higher-rank graph and periodicity in the path space
Astrid an Huef, Marcelo Laca, Iain Raeburn +1
We study the KMS states of the C*-algebra of a strongly connected finite k-graph. We find that there is only one 1-parameter subgroup of the gauge action that can admit a KMS state…
Quantum Heisenberg Manifolds as Twisted Groupoid -Algebras
Sooran Kang, Alex Kumjian, Judith Packer
The quantum Heisenberg manifolds are noncommutive manifolds constructed by M. Rieffel as strict deformation quantizations of Heisenberg manifolds and have been studied by various a…
Purely infinite -algebras associated to étale groupoids
Jonathan Brown, Lisa Orloff Clark, Adam Sierakowski
Let be a Hausdorff, étale groupoid that is minimal and topologically principal. We show that is purely infinite simple if and only if all the nonzero positive elemen…
KMS states on C*-algebras associated to local homeomorphisms
Zahra Afsar, Astrid an Huef, Iain Raeburn
For every Hilbert bimodule over a C*-algebra, there are natural gauge actions of the circle on the associated Toeplitz algebra and Cuntz-Pimsner algebra, and hence natural dynamics…
The primitive ideals of the Cuntz-Krieger algebra of a row-finite higher-rank graph with no sources
Toke Meier Carlsen, Sooran Kang, Jacob Shotwell +1
We catalogue the primitive ideals of the Cuntz-Krieger algebra of a row-finite higher-rank graph with no sources. Each maximal tail in the vertex set has an abelian periodicity gro…
Equilibrium states on the Cuntz-Pimsner algebras of self-similar actions
Marcelo Laca, Iain Raeburn, Jacqui Ramagge +1
We consider a family of Cuntz-Pimsner algebras associated to self-similar group actions, and their Toeplitz analogues. Both families carry natural dynamics implemented by automorph…
KMS states on -algebras associated to higher-rank graphs
Astrid an Huef, Marcelo Laca, Iain Raeburn +1
Consider a higher-rank graph of rank k. Both the Cuntz-Krieger algebra and the Toeplitz-Cuntz-Krieger algebra of the graph carry natural gauge actions of the torus T^k, and restric…
KMS states on the C*-algebras of finite graphs
Astrid an Huef, Marcelo Laca, Iain Raeburn +1
We consider a finite directed graph E, and the gauge action on its Toeplitz-Cuntz-Krieger algebra, viewed as an action of R. For inverse temperatures larger than a critical value β…
Two families of Exel-Larsen crossed products
Nathan Brownlowe, Iain Raeburn
Larsen has recently extended Exel's construction of crossed products from single endomorphisms to abelian semigroups of endomorphisms, and here we study two families of her crossed…
Simplicity of algebras associated to étale groupoids
Jonathan H. Brown, Lisa Orloff Clark, Cynthia Farthing +1
We prove that the C*-algebra of a second-countable, étale, amenable groupoid is simple if and only if the groupoid is topologically principal and minimal. We also show that if G ha…
Skew-products of higher-rank graphs and crossed products by semigroups
Ben Maloney, David Pask, Iain Raeburn
We consider a free action of an Ore semigroup on a higher-rank graph, and the induced action by endomorphisms of the -algebra of the graph. We show that the crossed product by…
Stacey crossed products associated to Exel systems
Astrid an Huef, Iain Raeburn
There are many different crossed products by an endomorphism of a C*-algebra, and constructions by Exel and Stacey have proved particularly useful. Here we show that every Exel cro…
Co-universal C*-algebras associated to aperiodic k-graphs
Sooran Kang, Aidan Sims
We construct a representation of each finitely aligned aperiodic k-graph Λ on the Hilbert space H^{ap} with basis indexed by aperiodic boundary paths in Λ. We show that the canonic…
Decomposing the C*-algebras of groupoid extensions
Jonathan H. Brown, Astrid an Huef
We decompose the full and reduced C*-algebras of an extension of a groupoid by the circle into a direct sum of twisted groupoid C*-algebras.
Naturality of Symmetric Imprimitivity Theorems
Astrid an Huef, S. Kaliszewski, Iain Raeburn +1
The first imprimitivity theorems identified the representations of groups or dynamical systems which are induced from representations of a subgroup. Symmetric imprimitivity theorem…
Strength of convergence in the orbit space of a groupoid
Robert Hazlewood, Astrid an Huef
Let G be a second-countable locally-compact Hausdorff groupoid with a Haar system, and let {x_n} be a sequence in the unit space of G. We show that the notions of strength of conve…
A Dixmier-Douady classification for Fell algebras
Astrid an Huef, Alex Kumjian, Aidan Sims
We generalise the Dixmier-Douady classification of continuous-trace C*-algebras to Fell algebras. To do so, we show that C*-diagonals in Fell algebras are precisely abelian subalge…
Full and reduced coactions of locally compact groups on C*-algebras
Astrid an Huef, John Quigg, Iain Raeburn +1
We survey the results required to pass between full and reduced coactions of locally compact groups on C*-algebras, which say, roughly speaking, that one can always do so without c…