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  1. 121 数理科学研究科
  2. 12120 博士論文(数理科学専攻)
  1. 0 資料タイプ別
  2. 20 学位論文
  3. 021 博士論文

Stone-Čech boundaries of discrete groups and measure equivalence theory

https://doi.org/10.15083/00004022
1a8a55ad-acab-4b85-8125-2db6f4af1186
名前 / ファイル ライセンス アクション
SakoH_22_3_PhD_a.pdf SakoH_22_3_PhD_a.pdf (5.2 MB)
SakoH_22_3_PhD_b.pdf SakoH_22_3_PhD_b.pdf (49.5 kB)
Item type 学位論文 / Thesis or Dissertation(1)
公開日 2012-10-23
タイトル
タイトル Stone-Čech boundaries of discrete groups and measure equivalence theory
言語
言語 eng
資源タイプ
資源 http://purl.org/coar/resource_type/c_46ec
タイプ thesis
ID登録
ID登録 10.15083/00004022
ID登録タイプ JaLC
その他のタイトル
その他のタイトル 離散群のストーン-チェック境界と測度同値理論
著者 SAKO, Hiroki

× SAKO, Hiroki

WEKO 9306

SAKO, Hiroki

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著者別名
識別子
識別子 9307
識別子Scheme WEKO
姓名
姓名 酒匂, 宏樹
著者所属
著者所属 東京大学大学院数理科学研究科
著者所属
著者所属 Graduate School of Mathematical Sciences, The University of Tokyo
Abstract
内容記述タイプ Abstract
内容記述 We get three types of results on measure equivalence theory: directproduct groups of Ozawa's class S groups, wreath product groups and amalgamatedfree products. We prove measure equivalence factorization results on directproduct groups of Ozawa's class S groups. As consequences, Monod-Shalom typeorbit equivalence rigidity theorems follow. We prove that if two wreath productgroups A≀G, B≀Γ of non-amenable exact direct product groups G, Γ with amenablebases A, B are measure equivalent, then G and Γ are measure equivalent. Rigidityresults on amalgamated free products of non-amenable exact direct productgroups are also shown. We also prove that being in Ozawa's class S of countablediscrete groups is invariant under measure equivalence.
書誌情報 発行日 2010-03-24
日本十進分類法
主題 410
主題Scheme NDC
学位名
学位名 博士(数理科学)
学位
値 doctoral
学位分野
Mathematical Sciences (数理科学)
学位授与機関
学位授与機関名
学位授与機関名 University of Tokyo (東京大学)
研究科・専攻
Graduate School of Mathematical Sciences (数理科学研究科)
学位授与年月日
学位授与年月日 2010-03-24
学位授与番号
学位授与番号 甲第26108号
学位記番号
博数理第350号
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