Entropy Theory for Cross-Sections

被引:0
作者
Nir Avni
机构
[1] Harvard University,Department of Mathematics
来源
Geometric and Functional Analysis | 2010年 / 19卷
关键词
Cross-sections; Ornstein–Weiss entropy; amenable groups; Kolmogorov system; completely positive entropy; 37A20; 37A15; 28D15; 28D20; 22D40;
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中图分类号
学科分类号
摘要
We define the notion of entropy for a cross-section of an action of continuous amenable group, and relate it to the entropy of the ambient action. As a result, we are able to answer a question of J.P. Thouvenot about completely positive entropy actions.
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页码:1515 / 1538
页数:23
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