76 citations · 490 across the 73 of their papers we have counts for
75 papers
Boundary quotients of the right Toeplitz algebra of the affine semigroup over the natural numbers
Astrid an Huef, Marcelo Laca, Iain Raeburn
We consider the semigroup crossed product of the additive natural numbers by the multiplicative natural numbers. We study its Toeplitz C*-algebra generated by the right-regular rep…
Strongly graded groupoid and directed graph algebras
Lisa Orloff Clark, Ellis Dawson, Iain Raeburn
We show the reduced -algebra of a graded ample groupoid is a strongly graded -algebra if and only if the corresponding Steinberg algebra is a strongly graded ring. We app…
Equilibrium states on the Toeplitz algebras of small higher-rank graphs
Astrid an Huef, Iain Raeburn
We consider a family of operator-algebraic dynamical systems involving the Toeplitz algebras of higher-rank graphs. We explicitly compute the KMS states (equilibrium states) of the…
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.…
A program for finding all KMS states on the Toeplitz algebra of a higher-rank graph
James Fletcher, Astrid an Huef, Iain Raeburn
The Toeplitz algebra of a finite graph of rank carries a natural action of the torus , and composing with an embedding of in gives…
On graded C*-algebras
Iain Raeburn
We show that every topological grading of a C*-algebra by a discrete abelian group is implemented by an action of the compact dual group.