An uncountable family of nonorbit equivalent actions of |
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Authors: | Damien Gaboriau Sorin Popa |
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Affiliation: | Umpa, UMR CNRS 5669, ENS-Lyon, F-69364 Lyon Cedex 7, France ; Department of Mathematics, Univeristy of California, Los Angeles, California 90095-1555 |
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Abstract: | For each , we construct an uncountable family of free ergodic measure preserving actions of the free group on the standard probability space such that any two are nonorbit equivalent (in fact, not even stably orbit equivalent). These actions are all ``rigid' (in the sense of Popa), with the IIfactors mutually nonisomorphic (even nonstably isomorphic) and in the class |
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Keywords: | |
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