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6 papers
Equilibrium on Toeplitz extensions of higher dimensional noncommutative tori
Zahra Afsar, Marcelo Laca, Jacqui Ramagge +1
The C*-algebra generated by the left-regular representation of twisted by a -cocycle is a Toeplitz extension of an -dimensional noncommutative torus, on which…
C*-algebras of self-similar actions of groupoids on higher-rank graphs and their equilibrium states
Zahra Afsar, Nathan Brownlowe, Jacqui Ramagge +1
We introduce the notion of a self-similar action of a groupoid on a finite higher-rank graph. To these actions we associate a compactly aligned product system of Hilbert bimodu…
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.…
KMS states on Nica-Toeplitz C*-algebras
Zahra Afsar, Nadia S. Larsen, Sergey Neshveyev
Given a quasi-lattice ordered group and a compactly aligned product system of essential C-correspondences over the monoid , we show that there is a bijection bet…
KMS states on the C*-algebras of Fell bundles over groupoids
Zahra Afsar, Aidan Sims
We consider fiberwise singly generated Fell-bundles over etale groupoids. Given a continuous real-valued 1-cocycle on the groupoid, there is a natural dynamics on the cross-section…
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…