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Published July 2009 | Submitted
Journal Article Open

Non-orbit equivalent actions of F_n

Ioana, Adrian

Abstract

For any 2 ≤ n ≤ ∞, we construct a concrete 1-parameter family of non-orbit equivalent actions of the free group F_n. These actions arise as diagonal products between a generalized Bernoulli action and the action Fn ↷ (T^2, λ^2), where F_n is seen as a subgroup of SL_(2)(Z).

Additional Information

© 2009 Société Mathématique de France.

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September 18, 2023
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