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Imprimitivity theorems and self-similar actions on Fell bundles

2022/08/01 by Anna Duwenig, Boyu Li, Duwenig, Anna +1
Mathematics · #22A22 #46L05 #46L55 #FOS: Mathematics #Functional Analysis (math.FA) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Mathematical Dynamics and Fractals #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.2208.01124

openalex publication_date 2022/08/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce the notion of self-similar actions of grouopids on other groupoids and Fell bundles. This leads to a new imprimitivity theorem arising from such dynamics, generalizing many earlier imprimitivity theorems involving group and groupoid actions.

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