1.

論文(リポジトリ)

論文(リポジトリ)
Sudo, Takahiro
出版情報: Ryukyu Mathematical Journal.  36  pp.69-112,  2023-12-28.  琉球大学理学部数理科学教室
概要: We study the entire cyclic cohomology theory for Banach algebras by following a part of the noncommutative geometric theory invented by Connes.
2.

論文(リポジトリ)

論文(リポジトリ)
Sudo, Takahiro
出版情報: Ryukyu Mathematical Journal.  35  pp.13-57,  2022-12-28.  琉球大学理学部数理科学教室
概要: We study noncommutative geometry (NG) by Connes, as a step forward to special understanding the theory as a memory keeping exercise back to the past for a return to the future.
3.

論文(リポジトリ)

論文(リポジトリ)
Sudo, Takahiro
出版情報: Ryukyu Mathematical Journal.  33  pp.61-102,  2020-12-28.  Department of Mathematical Sciences, Faculty of Science, University of the Ryukyus — 琉球大学理学部数理科学教室
URL: http://hdl.handle.net/20.500.12000/47631
概要: We would like to study the Hochschild homology and cohomology for algebras, to some possible extent of understanding the first level.
紀要論文
4.

論文(リポジトリ)

論文(リポジトリ)
Sudo, Takahiro
出版情報: Ryukyu mathematical journal.  32  pp.1-78,  2019-12-27.  Department of Mathematical Sciences, Faculty of Science, University of the Ryukyus — 琉球大学理学部数理科学教室
URL: http://hdl.handle.net/20.500.12000/45185
概要: We would like to review and study the basic noncommutative geometry by Khalkhali, but only partially as contained in the first chapter.
紀要論文
5.

論文(リポジトリ)

論文(リポジトリ)
Sudo, Takahiro
出版情報: 琉球大学理学部紀要 — BULLETIN OF THE FACULTY OF SCIENCE UNIVERSITY OF THE RYUKYUS.  pp.1-31,  2019-03-29.  琉球大学理学部 — Faculty of Science University of the Ryukyus
URL: http://hdl.handle.net/20.500.12000/44488
概要: We study projections of matrix algebras over complex or real numbers, to (partially) classify the (generically non-degen erate) projections (in our sense) and their spaces algebraically and geometrically, in the three by three, and four by four matrix cases, and in the general matrix case.
紀要論文
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6.

論文(リポジトリ)

論文(リポジトリ)
Sudo, Takahiro
出版情報: Ryukyu mathematical journal.  31  pp.7-164,  2018-12-28.  Department of Mathematical Sciences, Faculty of Science, University of the Ryukyus — 琉球大学理学部数理科学教室
URL: http://hdl.handle.net/20.500.12000/43145
概要: We would like to study noncommmutative geometry, related to Arithmetics in some sense. For this purpose forced, we review and study the lecture notes by Marcolli, on the arithmetic noncommutative geometry.
紀要論文
7.

論文(リポジトリ)

論文(リポジトリ)
Sudo, Takahiro
出版情報: 琉球大学理学部紀要 — BULLETIN OF THE FACULTY OF SCIENCE UNIVERSITY OF THE RYUKYUS.  pp.1-31,  2018-09-28.  琉球大学理学部 — Faculty of Science University of the Ryukyus
URL: http://hdl.handle.net/20.500.12000/42786
概要: We study weighted unilateral and bilateral shift operators and their C^∗-algebras in a systematic way. We mainly conside r some basic or extended, spectrum theory for those operators and their C^∗-algebras. As results we obtain several extended generalizations from certainly known results in some cases.
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8.

論文(リポジトリ)

論文(リポジトリ)
Sudo, Takahiro
出版情報: 琉球大学理学部紀要 — BULLETIN OF THE FACULTY OF SCIENCE UNIVERSITY OF THE RYUKYUS.  pp.1-30,  2018-03-30.  琉球大学理学部 — Faculty of Science University of the Ryukyus
URL: http://hdl.handle.net/20.500.12000/40887
概要: We mainly consider the real or complex operator norms for real or complex matrices on finite dimensional Hilbert spaces. We compute the real operator norm for real matrices directly and explicitly in terms of their entries, and similarly compute the complex operator norm for complex matrices. We also consider the real or complex operator norms of operators on Hilbert spaces, respectively viewed as the supremums of quadratic or Hermitian forms on the spaces.
紀要論文
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9.

論文(リポジトリ)

論文(リポジトリ)
Sudo, Takahiro
出版情報: Ryukyu mathematical journal.  30  pp.9-192,  2017-12-28.  Department of Mathematical Sciences, Faculty of Science, University of the Ryukyus
URL: http://hdl.handle.net/20.500.12000/43563
概要: As a back to the past for a return to the future, we review and study by running round, round, and through it, namely the non-commutative geometry (NCG) garden, explored and maintained by Connes-Marcolli.
紀要論文
10.

論文(リポジトリ)

論文(リポジトリ)
Sudo, Takahiro
出版情報: 琉球大学理学部紀要 — BULLETIN OF THE FACULTY OF SCIENCE UNIVERSITY OF THE RYUKYUS.  pp.1-40,  2017-09-29.  琉球大学理学部 — Faculty of Science University of the Ryukyus
URL: http://hdl.handle.net/20.500.12000/37346
概要: We study the K-theory for the group C* -algebras of some semi-direct products of discrete abelian groups. We especially consider nilpotent semidirect products of finitely generated free abelian groups and several typical examples such as the discrete Heisenberg group and its subgroups and their higher dimensional· generalizations and more other ones.
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