Hyperfinite actions on countable sets and probability measure spaces

Miklós Abért, Gábor Elek

Type: Other

Publication Date: 2012-01-01

Citations: 7

DOI: https://doi.org/10.1090/conm/567/11230

Abstract

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.

Locations

Contemporary mathematics - American Mathematical Society - View
arXiv (Cornell University) - View - PDF

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