Hyperfinite equivalence relations are treeable. For the case of uncountable relations, I was wondering if there is a reference to (or simple proof of) the following statement: Let $E$ be a (possibly uncountable) amenable equivalence relation on a standard probability space $(X,\mu)$. Then $E$ is treeable. Or perhaps is this statement incorrect?
Equivalence relations that are both not treeable and amenable
Vladimir
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