12 citations · 60 across the 12 of their papers we have counts for
12 papers
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…
A twist over a minimal étale groupoid that is topologically nontrivial over the interior of the isotropy
Becky Armstrong, Abraham C. S. Ng, Aidan Sims +1
We present an example of a twist over a minimal Hausdorff étale groupoid such that the restriction of the twist to the interior of the isotropy is not topologically trivial; that i…
Representing topological full groups in Steinberg algebras and C*-algebras
Becky Armstrong, Lisa Orloff Clark, Mahya Ghandehari +2
We study the natural representation of the topological full group of an ample Hausdorff groupoid in the groupoid's complex Steinberg algebra and in its full and reduced C*-algebras…
The local bisection hypothesis for twisted groupoid C*-algebras
Becky Armstrong, Jonathan H. Brown, Lisa Orloff Clark +4
In this note, we present criteria that are equivalent to a locally compact Hausdorff groupoid being effective. One of these conditions is that satisfies the "C*-algebraic l…
Simplicity of twisted C*-algebras of Deaconu--Renault groupoids
Becky Armstrong, Nathan Brownlowe, Aidan Sims
We consider Deaconu--Renault groupoids associated to actions of finite-rank free abelian monoids by local homeomorphisms of locally compact Hausdorff spaces. We study simplicity of…
Inclusions of C*-algebras of graded groupoids
Becky Armstrong, Lisa Orloff Clark, Astrid an Huef
We consider a locally compact Hausdorff groupoid which is graded over a discrete group. Then the fibre over the identity is an open and closed subgroupoid . We show that b…
Conjugacy of local homeomorphisms via groupoids and C*-algebras
Becky Armstrong, Kevin Aguyar Brix, Toke Meier Carlsen +1
We investigate dynamical systems consisting of a locally compact Hausdorff space equipped with a partially defined local homeomorphism. Important examples of such systems include s…
A uniqueness theorem for twisted groupoid C*-algebras
Becky Armstrong
We present a uniqueness theorem for the reduced C*-algebra of a twist over a Hausdorff étale groupoid . We show that the interior $\mathcal{I}^\mathcal{E…
Reconstruction of twisted Steinberg algebras
Becky Armstrong, Gilles G. de Castro, Lisa Orloff Clark +6
We show how to recover a discrete twist over an ample Hausdorff groupoid from a pair consisting of an algebra and what we call a quasi-Cartan subalgebra. We identify precisely whic…
Filtering germs: Groupoids associated to inverse semigroups
Becky Armstrong, Lisa Orloff Clark, Astrid an Huef +2
We investigate various groupoids associated to an arbitrary inverse semigroup with zero. We show that the groupoid of filters with respect to the natural partial order is isomorphi…
Twisted Steinberg algebras
Becky Armstrong, Lisa Orloff Clark, Kristin Courtney +3
We introduce twisted Steinberg algebras over a commutative unital ring . These generalise Steinberg algebras and are a purely algebraic analogue of Renault's twisted groupoid C*…
Product-system models for twisted -algebras of topological higher-rank graphs
Becky Armstrong, Nathan Brownlowe
We use product systems of -correspondences to introduce twisted -algebras of topological higher-rank graphs. We define the notion of a continuous -valued -…