Amenability and Inner Amenability of Transformation Groups

2020/05/16 by Ali Ebadian, Ebadian, Ali, Ali Jabbari +1
Mathematics · #54H15 #Advanced Operator Algebra Research #Advanced Topology and Set Theory #FOS: Mathematics #Functional Analysis (math.FA) #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2005.08077

openalex publication_date 2020/05/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we show that there is a net for amenable transformation groups like Følner net for amenable groups and investigate amenability of a transformation group constructed by semidirect product of groups. We introduce inner amenability of transformation groups and characterize this property.

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