24 citations · 88 across the 51 of their papers we have counts for
56 papers
Covariant representations of actions of inverse semigroups: a new approach to the reduced and essential crossed-product C*-algebras
Astrid an Huef, Ilija Tolich
We consider an action of an inverse semigroup on a C*-algebra and use it to construct a groupoid of germs with unit space the spectrum of . Motivated by the representation t…
A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups
Becky Armstrong, Lisa Orloff Clark, Astrid an Huef +2
We characterise stable finiteness and pure infiniteness of the essential crossed product of a C*-algebra by an action of an inverse semigroup. Under additional assumptions, we prov…
K-theory of C*-algebras arising from commuting Hilbert bimodules and invariant ideals
Astrid an Huef, Abraham C. S. Ng, Aidan Sims
We study the K-theory of the Cuntz-Nica-Pimsner C*-algebra of a rank-two product system that is an extension determined by an invariant ideal of the coefficient algebra. We use a c…
Nuclear dimension of groupoid C*-algebras with large abelian isotropy, with applications to C*-algebras of directed graphs and twists
Astrid an Huef, Dana P. Williams
We characterise when the C*-algebra C*(G) of a locally compact and Hausdorff groupoid G is subhomogeneous, that is, when its irreducible representations have bounded finite dimensi…
Equivalence of definitions of AF groupoid
Lisa Orloff Clark, Astrid an Huef, Rafael P. Lima +1
We prove the equivalence of two definitions of AF groupoid in the literature: one by Renault and the other by Farsi, Kumjian, Pask and Sims. In both definitions, an AF groupoid is…
Alexandrov groupoids and the nuclear dimension of twisted groupoid -algebras
Kristin Courtney, Anna Duwenig, Magdalena C. Georgescu +2
We consider a twist over an étale groupoid . When is principal, we prove that the nuclear dimension of the reduced twisted groupoid -algebra is bounded by…