## Journal of Symbolic Logic

### Orbit equivalence and actions of 𝔽n

Asger Törnquist

#### Abstract

In this paper we show that there are “E0 many” orbit inequivalent free actions of the free groups 𝔽n, 2≮ n≮∞ by measure preserving transformations on a standard Borel probability space. In particular, there are uncountably many such actions.

#### Article information

Source
J. Symbolic Logic, Volume 71, Issue 1 (2006), 265-282.

Dates
First available in Project Euclid: 22 February 2006

Permanent link to this document
https://projecteuclid.org/euclid.jsl/1140641174

Digital Object Identifier
doi:10.2178/jsl/1140641174

Mathematical Reviews number (MathSciNet)
MR2210067

Zentralblatt MATH identifier
1100.03040

#### Citation

Törnquist, Asger. Orbit equivalence and actions of 𝔽 n. J. Symbolic Logic 71 (2006), no. 1, 265--282. doi:10.2178/jsl/1140641174. https://projecteuclid.org/euclid.jsl/1140641174

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