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C*-環とその記号力学系、双曲型力学系の分類、軌道同型の研究への応用

C*环及其符号动力系统、双曲动力系统的分类以及在轨道同构研究中的应用

基本信息

批准号：
19K03537
负责人：
松本健吾
金额：
$ 2.91万
依托单位：
Joetsu University of Education
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2019
资助国家：
日本
起止时间：
2019-04-01 至 2024-03-31
项目状态：
已结题

项目摘要

2022年度は、京都大学数理解析研究で9月と1月に行われた作用素環論研究集会や、10月に行われた、エルゴード理論の研究集会、さらには１2月に大阪教育大学での作用素論・作用素環論研究集会に参加でき、力学系や作用素環論の研究者と研究討論できる十分な時間が取れた。さらに昨年度にひきつづき京大・東大の作用素環論のオンラインセミナーにも積極的に参加した。また、9月の数理解析研究所での研究集会では「K-theoretic duality for extensins of C*-algebras」というタイトルで、12月の大阪教育大学での作用素論・作用素環論研究集会では、「記号力学系におけるExt-群について」のタイトルで最新の結果を研究発表できた。また作用素環論と力学系の最新情報を定期購読雑誌「Ergodic Theory and Dynamical Systems」(Cambridge University Press)から得ることもできた。研究論文は、1．Cohomology groups, continuous full groups and continuous orbit equivalence of topological Markov shif1( Discrete Contin. Dyn. Syst), 2.C*-algebras associated with two-sided subshifts (J. Aust. Math. Soc.), 3. On one-sided topological conjugacy of topological Markov shifts and gauge actions on Cuntz-Krieger algebras. Ergodic Theory Dynam. Systems 他3編の計６編を出版することができた。

In 2022, the Mathematical Analytic Research of Kyoto University held a seminar on the theory of action factors in September and January, and held a meeting in October, held in October, held in Osaka University of Education, Osaka University of Education in December, participated in the seminar on the environmental theory of action factors, and the Department of Mechanics took part in the research seminar in ten minutes. Last year, Beijing University was invited to participate actively in the discussion of Beijing University. In September, the Institute of Mathematical understanding and Analysis held a seminar on "K-theoretic duality for extensins of C*-algebras". The results of the latest results of the study were reviewed in the table of the latest results of the research on the interaction factors of the Osaka University of Education in December. The results of the latest results of the study were reviewed. The latest situation of the Department of Mechanics and the Department of Mechanics. Periodically check the journal "Ergodic Theory and Dynamical Systems" (Cambridge University Press) to get the latest information. Study on Wen Wen, 1.Cohomology groups, continuous full groups and continuous orbit equivalence of topological Markov shif1 (Discrete Contin. Dyn. Syst), 2.C*-algebras associated with two-sided subshifts (J. Aust. Math. Soc.), 3. On one-sided topological conjugacy of topological Markov shifts and gauge actions on Cuntz-Krieger algebras. Ergodic Theory Dynam. Systems has written and published a series of books in 3 years.

项目成果

期刊论文数量（22）

专著数量（0）

科研奖励数量（0）

会议论文数量（0）

专利数量（0）

C*-algebras associated with asymptotic equivalence relations defined by hyperbolic toral automorphisms

与双曲环自同构定义的渐近等价关系相关的 C* 代数

DOI：
10.3934/era.2021006
发表时间：
2021
期刊：
Electronic Research Archive
影响因子：
0.8
作者：
Takeuchi Atsushi;Tsukada Hiroshi;Ogata Yoshiko;山上　滋;Matsumoto Kengo
通讯作者：
Matsumoto Kengo

Cohomology groups, continuous full groups and continuous orbit equivalence of topological Markov shifts

拓扑马尔可夫位移的上同调群、连续满群和连续轨道等价

DOI：
10.3934/dcds.2021139
发表时间：
2022
期刊：
Discrete & Continuous Dynamical Systems
影响因子：
1.1
作者：
Hatori Osamu;Oi Shiho;Shindo Togashi Rumi;Ogata Yoshiko;Katsunori Shimomura;Matsumoto Kengo
通讯作者：
Matsumoto Kengo

Subshifts and lambda-graph bisystems and their C:-algebras

子移和 lambda-图双系及其 C:-代数

DOI：
发表时间：
2019
期刊：
影响因子：
0
作者：
Koike Takayuki;Uehara Takato;Atsushi Takeuchi;T. Koike and T. Uehara;Yoshiko Ogata;A. Kohatsu-Higa and A. Takeuchi;松本　健吾;松本　健吾
通讯作者：
松本　健吾

One-sided topological conjugacy of normal subshifts and gauge actions on the associated C*-algebras

相关 C* 代数上正态子位移和规范作用的单边拓扑共轭

DOI：
10.1080/14689367.2021.1970115
发表时间：
2021
期刊：
Dynamical Systems
影响因子：
0
作者：
Bourne Chris;Ogata Yoshiko;Osamu Hatori;Matsumoto Kengo;K. Shimomura;Osamu Hatori;Ogata Yoshiko;Matsumoto Kengo
通讯作者：
Matsumoto Kengo

On one-sided topologicaal conjugacy of topological Markov shifts and gauge actions on Cuntz-Krieger lgebras

拓扑马尔可夫位移的单边拓扑共轭和 Cuntz-Krieger 代数上的规范作用

DOI：
发表时间：
2021
期刊：
Ergodic Theory and Dynamical Systems
影响因子：
0.9
作者：
Bourne Chris;Ogata Yoshiko;Osamu Hatori;Matsumoto Kengo;K. Shimomura;Osamu Hatori;Ogata Yoshiko;Matsumoto Kengo;Matsumoto Kengo;羽鳥　理;Takeuchi Atsushi;Shigeru Yamagami;Matsumoto Kengo
通讯作者：
Matsumoto Kengo