Alexandrov groupoids and the nuclear dimension of twisted groupoid C⁎-algebras

K Courtney, A Duwenig, MC Georgescu… - Journal of Functional …, 2024 - Elsevier
We consider a twist E over an étale groupoid G. When G is principal, we prove that the
nuclear dimension of the reduced twisted groupoid C⁎-algebra is bounded by a number …

Homology and Twisted -Algebras for Self-similar Actions and Zappa–Szép Products

A Mundey, A Sims - Results in Mathematics, 2025 - Springer
We study the categorical homology of Zappa–Szép products of small categories, which
include all self-similar actions. We prove that the categorical homology coincides with the …

[PDF][PDF] SATURATED FELL BUNDLES AND THEIR CLASSIFICATION

N MACHADO, S WAGNER - arXiv preprint arXiv:2501.14472, 2025 - researchgate.net
We present a comprehensive classification theory for saturated Fell bundles over locally
compact groups, utilizing data associated with their base group and unit fiber. This …

The Zappa-Sz\'{e} p product of twisted groupoids

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 …

The Imprimitivity Fell Bundle

A Duwenig - arXiv preprint arXiv:2311.15021, 2023 - arxiv.org
Given a full right-Hilbert C*-module $\mathbf {X} $ over a C*-algebra $ A $, the set $\mathbb
{K} _ {A}(\mathbf {X}) $ of $ A $-compact operators on $\mathbf {X} $ is the (up to …