STABILIZERS FOR ERGODIC ACTIONS OF HIGHER RANK SEMISIMPLE GROUPS

• 成果类型: Article
• 署名作者: STUCK, G; ZIMMER, RJ
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.2307/2118577
• 发表日期: 1994
• 页码: 723-747
• 关键词: foliations

摘要

Let G be a connected semisimple Lie group with finite center and R-rank greater-than-or-equal-to 2. Suppose that each simple factor of G either has R-rank greater-than-or-equal-to 2 or is locally isomorphic to Sp(1,n) or F4(-20). We prove that any faithful, in-educible, properly ergodic, finite measure-preserving action of G is essentially free. We extend the result to reducible actions and actions of lattices.