Some new rigidity results for stable orbit equivalence

Scot Adams

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


Broadly speaking, we prove that an action of a group with very little commutativity cannot be stably orbit equivalent to an action of a group with enough commutativity, assuming both actions are free and finite measure preserving. For example, one group may be SL2(ℝ) and the other a group with infinite discrete center (e.g., the universal cover of SL2(ℝ)); I believe this is the first rigidity result of this type for a pair of simpleLie groups both of split rank one. Another example: one group may be any nonelementary word hyperbolic group, the other any group with infinite discrete center.

Original languageEnglish (US)
Pages (from-to)209-219
Number of pages11
JournalErgodic Theory and Dynamical Systems
Issue number2
StatePublished - Apr 1995


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