4 papers
Generalised Twisted Groupoids and their C*-algebras
Lisa Orloff Clark, Michael à 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…
Groupoids of finitely aligned higher-rank graphs via filters and graph morphisms
Lisa Orloff Clark, Malcolm Jones
Path and boundary-path groupoids of finitely aligned higher-rank graphs are often constructed using either filters or graph morphisms. We generalise the graph morphism approach to…
Singular Ideals over arbitrary fields for the two- and three-headed snakes
Ramla Abdellatif, Lisa Orloff Clark, Roy Jansen +1
We study the Steinberg algebra with coefficients in an arbitrary field K for the two- and three-headed snake groupoids, which are basic examples of non-Hausdorff groupoids. We are…
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…