### Orbit equivalence and actions of 𝔽n

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

#### 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.

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Permanent link to this document: http://projecteuclid.org/euclid.jsl/1140641174
Digital Object Identifier: doi:10.2178/jsl/1140641174
Zentralblatt MATH identifier: 05038899
Mathematical Reviews number (MathSciNet): MR2210067

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