一般康托尔行动的渐近维度和超有限性

Sumun Iyer, Forte Shinko
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引用次数: 0

摘要

我们证明,对于局部具有有限渐近维度的可数离散群,康托空间上的泛函连续作用具有超无限轨道等价关系。这尤其适用于自由群,回答了弗里施-凯奇里斯-新科-维德尼/'anszky 的一个问题。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Asymptotic dimension and hyperfiniteness of generic Cantor actions
We show that for a countable discrete group which is locally of finite asymptotic dimension, the generic continuous action on Cantor space has hyperfinite orbit equivalence relation. In particular, this holds for free groups, answering a question of Frisch-Kechris-Shinko-Vidny\'anszky.
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