Given a normal subgroup bundle A of the isotropy bundle of a groupoid Σ, we obtain a twisted action of the quotient groupoid Σ/A on the bundle of group C⁎-algebras determined …
A Duwenig, E Gillaspy, R Norton - International Mathematics …, 2022 - academic.oup.com
When the reduced twisted-algebra of a non-principal groupoid admits a Cartan subalgebra, Renault's work on Cartan subalgebras implies the existence of another groupoid description …
R Valente, D Yang - arXiv preprint arXiv:2405.07062, 2024 - arxiv.org
In this paper, we initiate the study of higher rank Baumslag-Solitar semigroups and their related C*-algebras. We focus on two extreme, but interesting, classes-one is related to …
A Duwenig, A Sims - arXiv preprint arXiv:2309.09177, 2023 - arxiv.org
We characterise when a smooth structure on the unit space of a Hausdorff\'etale groupoid can be extended to a Lie-groupoid structure on the whole groupoid. We introduce Lie twists …
This paper explores the tension between multiple models and rigidity for groupoid $ C^* $- algebras. We begin by identifying $\Gamma $-Cartan subalgebras $ D $ inside twisted …
Let $\Sigma\rightarrow G $ be a twist over a locally compact Hausdorff\'{e} tale groupoid $ G $. Given $ f $ in the reduced C $^* $-algebra $ C_r^*(\Sigma; G) $ with open support …
A Duwenig, B Li - arXiv preprint arXiv:2406.00466, 2024 - arxiv.org
We define and study the external and the internal Zappa-Sz\'{e} p product of twists over groupoids. We determine when a pair $(\Sigma_ {1},\Sigma_ {2}) $ of twists over a matched …
B Armstrong, A Ng, A Sims, Y Zhou - arXiv preprint arXiv:2312.08683, 2023 - arxiv.org
A twist over a minimal étale groupoid that is topologically nontrivial over the interior of the isotropy Page 1 A TWIST OVER A MINIMAL ÉTALE GROUPOID THAT IS TOPOLOGICALLY …
Well-known work of Renault shows that if $\mathcal {E} $ is a twist over a second countable, effective,\'etale groupoid $ G $, then there is a naturally associated Cartan subalgebra of the …