English

Orbit Equivalence and actions of F_n

Group Theory 2011-11-30 v2 Logic

Abstract

In this paper we show that there are "E_0 many" orbit inequivalent free actions of the free groups F_n, 2n2\leq n\leq\infty, by measure preserving transformations on a standard Borel probability space. In particular, there are uncountably many such actions.

Keywords

Cite

@article{arxiv.0912.1506,
  title  = {Orbit Equivalence and actions of F_n},
  author = {Asger Tornquist},
  journal= {arXiv preprint arXiv:0912.1506},
  year   = {2011}
}

Comments

This paper appeared in the Journal of Symbolic Logic, see reference below. (Nov. 29: Title of paper corrected.)