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- W1595588051 abstract "A long standing open problem in the theory of hyperfinite equivalence relations asks if the orbit equivalence relation generated by a Borel action of a countable amenable group is hyperfinite. In this paper we show that this question has a positive answer when the acting group is locally nilpotent. This extends previous results obtained by Gao-Jackson for abelian groups and by Jackson-Kechris-Louveau for finitely generated nilpotent-by-finite groups. Our proof is based on a mixture of coarse geometric properties of locally nilpotent groups together with an adaptation of the Gao-Jackson machinery." @default.
- W1595588051 created "2016-06-24" @default.
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- W1595588051 date "2013-08-27" @default.
- W1595588051 modified "2023-09-27" @default.
- W1595588051 title "Locally Nilpotent Groups and Hyperfinite Equivalence Relations" @default.
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