Hyperfinite actions on countable sets and probability measure spaces

Details Hyperfinite actions on countable sets and probability measure spaces Hyperfinite actions on countable sets and probability measure spaces

2011-05-16

arxiv.org/abs/1105.3200v3

Mathematics

Group Theory

19 pages, added a more general result and corrected typos

Scientific paper

We introduce the notion of hyperfiniteness for permutation actions of
countable groups on countable sets and give a geometric and analytic
characterization, similar to the known characterizations for amenable actions.
We also answer a question of van Douwen on actions of the free group on two
generators on countable sets.

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