, Volume 73, Issue 2, pp 151-159

Groups generating transversals to semisimple lie group actions

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We describe those discrete groups with finite measure preserving actions that are stably orbit equivalent to such an action of a higher rank simple Lie group. This is applied to obtain information on the question of when ergodic equivalence relations are generated by a free action of a group.

Research partially supported by the National Science Foundation and the Israel-U.S. Binational Science Foundation.