Amenability and Inner Amenability of Transformation Groups

Fuente: arXiv
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Auteurs principaux: Ebadian, Ali, Jabbari, Ali
Format: Preprint
Publié: 2020
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author Ebadian, Ali
Jabbari, Ali
author_facet Ebadian, Ali
Jabbari, Ali
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2005_08077
institution arXiv
publishDate 2020
record_format arxiv
spellingShingle Amenability and Inner Amenability of Transformation Groups
Ebadian, Ali
Jabbari, Ali
Functional Analysis
54H15
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.
title Amenability and Inner Amenability of Transformation Groups
topic Functional Analysis
54H15
url https://arxiv.org/abs/2005.08077