Amenability and skew-amenability of actions of topological groups

Fuente: arXiv
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Autori principali: Alekseev, Vadim, Ando, Hiroshi, Schneider, Friedrich Martin, Thom, Andreas
Natura: Preprint
Pubblicazione: 2024
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author Alekseev, Vadim
Ando, Hiroshi
Schneider, Friedrich Martin
Thom, Andreas
author_facet Alekseev, Vadim
Ando, Hiroshi
Schneider, Friedrich Martin
Thom, Andreas
contents We define and study notions of amenability and skew-amenability of continuous actions of topological groups on compact topological spaces. Our main motivation is the question under what conditions amenability of a topological group passes to a closed subgroup. Other applications include the understanding of the universal minimal flow of various non-amenable groups.
format Preprint
id arxiv_https___arxiv_org_abs_2412_00438
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Amenability and skew-amenability of actions of topological groups
Alekseev, Vadim
Ando, Hiroshi
Schneider, Friedrich Martin
Thom, Andreas
Group Theory
Functional Analysis
22A10, 43A07, 22D99
We define and study notions of amenability and skew-amenability of continuous actions of topological groups on compact topological spaces. Our main motivation is the question under what conditions amenability of a topological group passes to a closed subgroup. Other applications include the understanding of the universal minimal flow of various non-amenable groups.
title Amenability and skew-amenability of actions of topological groups
topic Group Theory
Functional Analysis
22A10, 43A07, 22D99
url https://arxiv.org/abs/2412.00438