Imprimitivity theorems and self-similar actions on Fell bundles

A Duwenig, B Li - Journal of Functional Analysis, 2025 - Elsevier
We introduce the notion of self-similar actions of groupoids on other groupoids and Fell
bundles. This leads to a new imprimitivity theorem arising from such dynamics, generalizing …

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 …