3 papers
math.RA2026
Steinberg Algebras of Ample Semicategories and their Boolean-Cartan Restriction Semigroups
Tristan Bice, Malcolm Jones, Ganna Kudryavtseva
We extend the construction of Steinberg algebras of ample groupoids to étale semicategories. We also relate ample semicategories to Boolean restriction semigroups via a representat…
math.RA2025
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…
math.RA2020
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…