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arXiv · 2412.00438

Amenability and skew-amenability of actions of topological groups

Vadim Alekseev·Hiroshi Ando·Friedrich Martin Schneider·Andreas Thom
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Abstract

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.

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Vadim Alekseev, Hiroshi Ando, Friedrich Martin Schneider, Andreas Thom. 2024-11-30. Amenability and skew-amenability of actions of topological groups. https://arxiv.org/abs/2412.00438

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