12 citations · 60 across the 12 of their papers we have counts for
9 papers · 1 filter
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…
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 -…