市大数学教室

大阪市立大学大学院理学研究科数物系専攻 21世紀COEプログラム

結び目を焦点とする広角度の数学拠点の形成
(Constitution of wide-angle mathematical basis focused on knots)
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講義 (2006年度)(2005)


集中講義
授業科目名 :COE21特別講義IV
講演者 :濱地敏弘氏 (九州大学)
タイトル :Topological and finitary orbit equivalence
日程 :平成18年5月30日 (火) 〜 6月2日 (金)
時間 :5/30(火) 14:30−16:00
 5/31(水)〜6/2(金) 13:30-15:00
場所 :数学講究室(3040)

講義内容
Abstract:

Bratteli diagrams have received attention in several mathematical directions, since they were introduced by O.Bratteli for classification of C*-algebras. In topological dynamics, Cantor minimal systems can be presented using them, and also in a similar way they can represent ergodic probability measure preserving transformations. Through these presentations, one can ask what the nature of Dye's theorem on orbit equivalence becomes. The answers are given by T.Giordano, I.Putnam, and C.Skau in the Cantor minimal case, and by T.Hamachi and M.Keane in the finitary case, dealing with ergodic measure preserving transformations.

Here we discuss an improvement by giving a dynamical proof of the GPS-theorem, which was conjectured (and half of it proved) by E.Glasner and B.Weiss.
This is a joint work with Professors M.Keane (Wesleyan Univ.) and H.Yuasa (Kyushu Univ.).

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最終更新日: 2006年5月25日
(C)大阪市大数学教室