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20172026
most citedTopological full groups of ultragraph groupoids as an isomorphism invariant

7 citations · 7 across the 7 of their papers we have counts for

collaborators

7 papers

math.RA2026

Graded Locally Finite and Just Infinite Steinberg Algebras

Giuliano Boava, Gilles G. de Castro, Daniel Gonçalves +1

We study graded locally finite and graded just infinite Steinberg algebras of ample Hausdorff groupoids. For gradings by discrete groups induced by a cocycle, we characterize finit…

math.RA2024

The dynamical structure of partial group algebras with relations, with applications to subshift algebras

Giuliano Boava, Gilles G. de Castro, Daniel Gonçalves +1

We introduce partial group algebras with relations in a purely algebraic framework. Given a group and a set of relations, we define an algebraic partial action and prove that the r…

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.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.DS2019★ 7 cited

Topological full groups of ultragraph groupoids as an isomorphism invariant

Gilles Gonçalves de Castro, Daniel Gonçalves, Daniel W van Wyk

We prove two isomorphism-invariance theorems for groupoids associated with ultragraphs. These theorems characterize ultragraphs for which the topological full group of an associate…

math.OA2018

The orbit spaces of groupoids whose -algebras are CCR

Daniel W van Wyk

Let G be second countable locally compact Hausdorff groupoid with a continuous Haar system. We remove the assumption of amenability in a theorem of Clark about groupoids whose $C^*…

math.OA2017

The orbit space of groupoids whose -algebras are GCR

Daniel W van Wyk

Let be second countable locally compact Hausdorff groupoid with a continuous Haar system. We remove the assumption of amenability in a theorem by Clark about GCR groupoid …