Orbit equivalence for Cantor minimal acurrency sign d -systems

• 成果类型: Article
• 署名作者: Giordano, Thierry; Matui, Hiroki; Putnam, Ian F.; Skau, Christian F.
• 署名单位: Chiba University; University of Ottawa; University of Victoria; Norwegian University of Science & Technology (NTNU)
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-009-0213-7
• 发表日期: 2010
• 页码: 119-158
• 关键词: absorption theorem; ergodic-theory; affability

摘要

We show that every minimal action of any finitely generated abelian group on the Cantor set is (topologically) orbit equivalent to an AF relation. As a consequence, this extends the classification up to orbit equivalence of minimal dynamical systems on the Cantor set to include AF relations and acurrency sign (d) -actions.