For coamenable inclusions S ≤ R of ergodic pmp relations, R is strongly ergodic iff S is; extends to group actions with countably many strongly ergodic ergodic components.
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Coamenability and strong ergodicity
For coamenable inclusions S ≤ R of ergodic pmp relations, R is strongly ergodic iff S is; extends to group actions with countably many strongly ergodic ergodic components.