2 papers
math.CT2025
Limits in categories of étale groupoids and pseudogroups
Jonathan Taylor
We show that the category of sober étale groupoids and actors admits all small limits. This is achieved by computing the limits in the equivalent category of pseudogroups with pse…
math.OA2025
Essential Cartan subalgebras of -algebras
Jonathan Taylor
We define essential commutative Cartan pairs of -algebras generalising the definition of Renault and show that such pairs are given by essential twisted groupoid -algebra…