测度群论综述
A survey of Measured Group Theory
摘要:
标题是指研究领域的无限群使用测量理论的工具,并研究限制,集团结构强加给遍历论的行动。本文综述了群间测度等价和群作用间轨道等价概念的最新进展。我们讨论已知的不变量和分类结果(刚性)在这两个领域。
英文摘要:
The title refers to the area of research which studies infinite groups using measure-theoretic tools, and studies the restrictions that group structure imposes on ergodic theory of their actions. The paper is a survey of recent developments focused on the notion of Measure Equivalence between groups, and Orbit Equivalence between group actions. We discuss known invariants and classification results (rigidity) in both areas.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。