Non-Orbit Equivalent Actions of \Bbb F_n

2006/10/16 by Ioana, Adrian
#28D15 #46L10 #46L35 #FOS: Mathematics #Group Theory (math.GR) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.math/0610452

Abstract

For any 2≤ n≤ ∞, we construct a concrete 1-parameter family of non-orbit equivalent actions of the free group \Bbb F_n. These actions arise as diagonal products between a generalized Bernoulli action and the action \Bbb F_n\curvearrowright (\Bbb T²,λ²), where \Bbb F_n is seen as a subgroup of SL₂(\Bbb Z).

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