Free minimal actions of countable groups with invariant probability measures

Free minimal actions of countable groups with invariant probability measures
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具有不变概率测度的可数群的自由最小动作

DOI:
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发表时间:
2018
影响因子:
0.9
通讯作者:
G. Elek
G. Elek
中科院分区:
数学2区
文献类型:
--
作者:
G. Elek

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证明了对任意可数群$unicode[STIX]{x1 D 6 E4}$,在容许不变Borel概率测度的Cantor集上存在自由的极小连续作用$unicode[STIX]{x1 D 6 FC}:unicode[STIX]{x1 D 6 E4}curvearrowright {mathcal{C}}$.
We prove that for any countable group $unicode[STIX]{x1D6E4}$ , there exists a free minimal continuous action $unicode[STIX]{x1D6FC}:unicode[STIX]{x1D6E4}curvearrowright {mathcal{C}}$ on the Cantor set admitting an invariant Borel probability measure.