English

Orbit inequivalent actions for groups containing a copy of $\Bbb F_2$

Group Theory 2008-03-21 v2 Operator Algebras

Abstract

We prove that if a countable group Γ\Gamma contains a copy of F2\Bbb F_2, then it admits uncountably many non orbit equivalent actions.

Keywords

Cite

@article{arxiv.math/0701027,
  title  = {Orbit inequivalent actions for groups containing a copy of $\Bbb F_2$},
  author = {Adrian Ioana},
  journal= {arXiv preprint arXiv:math/0701027},
  year   = {2008}
}

Comments

18 pages; the introduction and Section 4 have been rewritten