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CHARACTERIZATIONS OF LOCALLY FINITE ACTIONS OF GROUPS ON SETS

  • EDUARDO SCARPARO (a1)

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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References

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Glasgow Mathematical Journal
  • ISSN: 0017-0895
  • EISSN: 1469-509X
  • URL: /core/journals/glasgow-mathematical-journal
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