Skip to main content
2 of 2
Edited to weaken the conjecture.
Vladimir
  • 1.3k
  • 9
  • 18

Equivalence relations that are both not treeable and amenable

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?

Vladimir
  • 1.3k
  • 9
  • 18