Partial actions of groups on hyperspaces

2021/05/21 by Luis Martínez, Martínez, Luís, Héctor Pinedo +3
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Advanced Topology and Set Theory #FOS: Mathematics #General Topology (math.GN) #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.2105.10550

openalex publication_date 2021/05/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let X be a compact Hausdorff space. In this work we translate partial actions of X to partial actions on some hyperspaces determined by X, this gives an endofunctor 2^- in the category of partial actions on compact Hausdorff spaces which generates a monad in this category. Moreover, structural relations between partial actions θ on X and partial determined by 2^θ are established.

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