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CHARACTERIZATIONS OF LOCALLY FINITE ACTIONS OF GROUPS ON SETS
Published online by Cambridge University Press: 04 September 2017
Abstract
We show that an action of a group on a set X is locally finite if and only if X is not equidecomposable with a proper subset of itself. As a consequence, a group is locally finite if and only if its uniform Roe algebra is finite.
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- Research Article
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- Copyright © Glasgow Mathematical Journal Trust 2017
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