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