activity
19942022
most citedRenault's Equivalence Theorem for Groupoid Crossed Products

67 citations · 259 across the 48 of their papers we have counts for

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47 papers · 1 filter

math.OA2022

Properties Preserved by Groupoid Equivalence

Daniel W. van Wyk, Dana P. Williams

We show that groupoid equivalence preserves a number of groupoid properties such as properness or the property of being topologically principal.

math.OA2022

Renault's -map for Fell bundle -algebras

Anna Duwenig, Dana P. Williams, Joel Zimmerman

If is a Fell bundle over an étale groupoid, then we show that there is an norm reducing injective linear map $j \colon C^*_r(G;\mathcal B)\to Γ_{0}(G;\ma…

math.OA2021

The Primitive Ideal Space of Groupoid C*-Algebras for Groupoids with Abelian Isotropy

Daniel W. van Wyk, Dana P. Williams

We study the topology of the primitive ideal space of groupoid C*-algebras for groupoids with abelian isotropy. Our results include the known results for action groupoids with abel…

math.OA2021

Pushouts of extensions of groupoids by bundles of abelian groups

Marius Ionescu, Alex Kumjian, Jean N. Renault +2

We analyse extensions of groupoids by bundles of abelian groups. We describe a pushout construction for such extensions, and use it to describe the extension group of a…

math.OA2021

Groupoid Semidirect Product Fell Bundles II- Principal Actions and Stabilization

Lucas Hall, S. Kaliszewski, John Quigg +1

Given a free and proper action of a groupoid on a Fell bundle (over another groupoid), we give an equivalence between the semidirect-product and the generalized-fixed-point Fell bu…

math.OA2021

Groupoid Semidirect Product Fell Bundles I- Actions by Isomorphisms

Lucas Hall, S. Kaliszewski, John Quigg +1

Given an action of a groupoid by isomorphisms on a Fell bundle (over another groupoid), we form a semidirect-product Fell bundle, and prove that its -algebra is isomorphic t…