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arxiv: 1601.00023 · v1 · pith:KIYPS2CYnew · submitted 2015-12-31 · 🧮 math.DS · math.GR

Integrable orbit equivalence rigidity for free groups

classification 🧮 math.DS math.GR
keywords freeintegrablegroupgroupsorbitaccessiblecompactificationsequivalence
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It is shown that every accessible group which is integrable orbit equivalent to a free group is virtually free. Moreover, we also show that any integrable orbit-equivalence between finitely generated groups extends to their end compactifications.

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