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arXiv · 2211.04223

Amenable partial actions

Massoud Amini
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Abstract

We introduce and study various notions of amenability continuous (Borel) partial actions of locally compact (Borel) groups $G$ on topological (standard Borel) spaces. We also study amenability of partial representations of a locally compact group in a Banach space and show that a partial action on a measure space is amenable iff the corresponding Koopman partial representation on the corresponding $L^2$-space is amenable. We introduce the notion of induced partial representation from a closed subgroup and explore perseverance of amenability type properties under induction.

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Massoud Amini. 2022-11-08. Amenable partial actions. https://arxiv.org/abs/2211.04223

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