101 citations · 209 across the 33 of their papers we have counts for
48 papers
Global and local triviality for extensions of ample groupoids: an algebraic approach
Nathan Brownlowe, Lisa Orloff Clark, Enrique Pardo +1
Using the duality between the categories of inverse semigroups and ample groupoids, we prove the triviality (global and local) of the central term of the extension in terms of twis…
Groupoids of finitely aligned higher-rank graphs via filters and graph morphisms
Lisa Orloff Clark, Malcolm Jones
Higher-rank graphs are certain small categories that are a higher-dimensional generalisation of both directed graphs and free monoids. Path and boundary-path groupoids of finitely…
Singular ideals over arbitrary fields for the cyclic-headed snakes
Ramla Abdellatif, Lisa Orloff Clark, Roy Jansen +1
We study the Steinberg algebras with coefficients in an arbitrary field K for the cyclic-headed snake groupoids, which are basic examples of non-Hausdorff groupoids. We are particu…
Generalised Twisted Groupoids and their C*-algebras
Lisa Orloff Clark, Michael Ó Ceallaigh, Hung Pham
We consider a locally compact Hausdorff groupoid , and twist by a more general locally compact Hausdorff abelian group rather than the complex unit circle . We i…
Cartan semigroups and twisted groupoid C*-algebras
Tristan Bice, Lisa Orloff Clark, Ying-Fen Lin +1
We prove that twisted groupoid C*-algebras are characterised, up to isomorphism, by having Cartan semigroups, a natural generalisation of normaliser semigroups of Cartan subalgebra…
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…