Hyperfiniteness of the boundary action of virtually special groups
classification
🧮 math.GR
math.GTmath.LO
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actionboundarygroupshyperfinitenessvirtuallyactingcomplexconsidered
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We prove that for any countable group acting virtually specially on a CAT(0) cube complex, the orbit equivalence relation induced by its action on the Roller boundary is hyperfinite. This can be considered as a generalization of hyperfiniteness of the boundary action of cubulated hyperbolic groups by Huang-Sabok-Shinko.
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