An absorption theorem for minimal AF equivalence relations on Cantor sets

スポンサーリンク

概要

• 論文の詳細を見る

• We prove that a ‘small’ extension of a minimal AF equivalence relation on a Cantor set is orbit equivalent to the AF relation. By a ‘small’ extension we mean an equivalence relation generated by the minimal AF equivalence relation and another AF equivalence relation which is defined on a closed thin subset. The result we obtain is a generalization of the main theorem in [GMPS2]. It is needed for the study of orbit equivalence of minimal Zd-systems for d > 2 [GMPS3], in a similar way as the result in [GMPS2] was needed (and sufficient) for the study of minimal Z2-systems [GMPS1].

• 社団法人 日本数学会の論文
• 2008-10-01

著者

• MATUI Hiroki

  Graduate School of Science and Technology Chiba University

• Matui Hiroki

  Graduate School Of Science Chiba University

関連論文

• SQUARE ROOT CLOSED $ C^\ast $-ALGEBRAS
• An absorption theorem for minimal AF equivalence relations on Cantor sets
• Approximate Conjugacy and Full Groups of Cantor Minimal Systems

スポンサーリンク