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On a topological invariance of non-commutative topological algebras

Research Project

Project/Area Number 04640129
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field 解析学
Research InstitutionChiba University

Principal Investigator

NAGISA Masaru  Chiba Univ., Dept.of Science, AP, 理学部, 助教授 (50189172)

Co-Investigator(Kenkyū-buntansha) TSUTSUI Tohru  Chiba Univ., Dept.of Science, A, 理学部, 助手 (00197732)
TAGURI Masaaki  Chiba Univ., Dept.of Science, P, 理学部, 教授 (10009607)
NAKAGAMI Jun-ichi  Chiba Univ., Dept.of Science, AP, 理学部, 助教授 (30092076)
YOSHIDA Hidenobu  Chiba Univ., Dept.of Science, P, 理学部, 教授 (60009280)
YANAGIHARA Niro  Chiba Univ., Dept.of Science, P, 理学部, 教授 (70009041)
Project Period (FY) 1992 – 1993
Project Status Completed (Fiscal Year 1993)
Budget Amount *help
¥2,200,000 (Direct Cost: ¥2,200,000)
Fiscal Year 1993: ¥1,200,000 (Direct Cost: ¥1,200,000)
Fiscal Year 1992: ¥1,000,000 (Direct Cost: ¥1,000,000)
KeywordsC^<**>-algebra / dynamical system / UHF C^<**>-algebra / Bratteli diagram / binary shift / C^*-代数 / 有限次元的C^*-代数 / C^*-algebra / stable rank / real rank / paragroup / binary shift
Research Abstract

In this research, we mainly get two results for O-dimensional algebras. One concerns with the outer conjugateness of binary shifts of hyperfinite II-1 factors(or UHF C**-algebras). We prove that any binary shift has infinitely many binary shifts which is conjugate, but not outer-conjugate to the original one. Another concerns a C**-dynamical system. The system of the Cantor set and a minimal action on it related to the system the Bratteli diagram and an order on it. We define orders on some special Bratteli diagram, and study these order structure. So we show that there is uncountable many Bratteli diagrams that are equivalent, but not order-equivalent.
These results are in preparation.

Report

(3 results)
  • 1993 Annual Research Report   Final Research Report Summary
  • 1992 Annual Research Report
  • Research Products

    (12 results)

All Other

All Publications (12 results)

  • [Publications] Y.Konishi: "Some remarks on actions of compact matrix quantum groups on C^*-algebra" Pacific Journal of Mathematics. 153. 119-127 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] H.Yoshida: "Almost periodic meromorphic functions" Mathematica Montisnigri. 1. 1-17 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] J.Nakagami: "Game thooretic analysis for an optimal stopping problem" Journal of Operations Research Society of Japan. 35. 1-14 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Y.Konishi, M.Nagisa and Y.Watatani: "Some Remarks on actions of compact matrix quantum groups on C**-algebras" PACIFIC Journal of Mathematics. Vol.153, No.1. (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] H.Yoshida: "Almost periodic meromorphic functions" Mathematica Montisnigri. Vol.1. (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] J.Nakagami: "Game theoretic analysis for an optimal stopping problem by means of moments of a distribution function" Journal of the Operations Research Society of Japan. Vol.35 No.1. (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Y.Konishi: "Some remarks on actions of conpact matrix guantum groups on C^*-alg-s" Pacific Journal of Mathematics. 153. 119-127 (1992)

    • Related Report
      1993 Annual Research Report
  • [Publications] H.Yoshida: "Almost periodic meromorphic functions" Mathematica Montisnigri. 1. 1-17 (1992)

    • Related Report
      1993 Annual Research Report
  • [Publications] J.Nakagami: "Game theoretic analysis for an optimal stopping problem" Journal of Operations Research Society of Japan. 35. 1-14 (1992)

    • Related Report
      1993 Annual Research Report
  • [Publications] 吉田 英信: "Almost periodic meromorphic functions" Mathematica Montisnigri. 1. 1-17 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 中神 潤一: "Game theoretic analysis for an optimal stopping problem by meaus of moments of a distribution function" Journal of Operations Research Society of Japan. 35. 1-14 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 渚 勝: "Some remarks on actions of compact matrix quautum groups on C^*-algelvas" Pacific Journal of Mathematics. 153. 119-127 (1992)

    • Related Report
      1992 Annual Research Report

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Published: 1992-04-01   Modified: 2016-04-21  

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