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- W4300930636 abstract "We construct a universal action of a countable locally finite group (the Hall's group) on a separable metric space by isometries. This single action contains all actions of all countable locally finite groups on all separable metric spaces as subactions. The main ingredient is the amalgamation of actions by isometries. We show that an equivalence class of this universal action is generic. We show that the restriction to locally finite groups in our results is necessary as analogous results do not hold for infinite non-locally finite groups. We discuss the problem also for actions by linear isometries on Banach spaces." @default.
- W4300930636 created "2022-10-04" @default.
- W4300930636 creator A5018422403 @default.
- W4300930636 date "2016-12-30" @default.
- W4300930636 modified "2023-09-29" @default.
- W4300930636 title "Universal actions and representations of locally finite groups on metric spaces" @default.
- W4300930636 doi "https://doi.org/10.48550/arxiv.1612.09448" @default.
- W4300930636 hasPublicationYear "2016" @default.
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