A measure-conjugacy invariant for free group actions

• 成果类型: Article
• 署名作者: Bowen, Lewis Phylip
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2010.171.1387
• 发表日期: 2010
• 页码: 1387-1400
• 关键词: metric invariant; entropy; AUTOMORPHISMS; shifts

摘要

This paper introduces a new measure-conjugacy invariant for actions of free groups. Using this invariant, it is shown that two Bernoulli shifts over a finitely generated free group are measurably conjugate if and only if their base measures have the same entropy. This answers a question of Ornstein and Weiss.