测度群论综述
动力系统
2010-08-10 v2 群论
摘要
该标题指代一个研究领域，该领域利用测度论工具研究无限群，并研究群结构对其作用遍历理论所施加的限制。本文是一篇综述，聚焦于群之间的测度等价以及群作用之间的轨道等价这两个概念的最新进展。我们讨论了这两个领域中的已知不变量和分类结果（刚性）。
引用
@article{arxiv.0901.0678,
title = {A survey of Measured Group Theory},
author = {Alex Furman},
journal= {arXiv preprint arXiv:0901.0678},
year = {2010}
}
备注
A survey for the Proceedings of a Conference honoring Robert Zimmer's 60th birthday. 61 pages. Referees comments are incorporated, in particular sections 3.1.2 (cost) and 3.1.4 (Cowling Haagerup invariant) were updated. Some new references added