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| 1.
論文（リポジトリ） |
論文（リポジトリ）
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Sudo, Takahiro
概要:
We would like to review and study the basic noncommutative geometry by Khalkhali, but only partially as contained in the first chapter.
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| 2.
論文（リポジトリ） |
論文（リポジトリ）
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Sudo, Takahiro
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.
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| 3.
論文（リポジトリ） |
論文（リポジトリ）
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Sudo, Takahiro
概要:
We study weighted unilateral and bilateral shift operators and their C^∗-algebras in a systematic way. We mainly conside
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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.
紀要論文 続きを見る |
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| 4.
論文（リポジトリ） |
論文（リポジトリ）
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Sudo, Takahiro
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.
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| 5.
論文（リポジトリ） |
論文（リポジトリ）
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Sudo, Takahiro
概要:
We study the K-theory and the E-theory for C^*-algebras and consider as an application the Baum-Connes conjecture for di
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screte groups and their group C^*-algebras and crossed product C^*-algebras, mostly based on the lecture notes by Nigel Higson and Erik Guentner.
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| 6.
論文（リポジトリ） |
論文（リポジトリ）
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Sudo, Takahiro
概要:
We review and study the Künneth theorem (KT) and the universal coefficient theorem (UCT) in equivariant K-theory and KK-theory for C^* -algebras, obtained by Rosenberg and Schochet.
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| 7.
論文（リポジトリ） |
論文（リポジトリ）
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Sudo, Takahiro
概要:
We review and study the KK-theory equivalence for C^* -algebras as the main subject. For this we review and study some m
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ore basics on the KK-theory for C^* -algebras. As a result as a collection we obtain a table on classification of some KK-equivalent C^* -algebras.
紀要論文 続きを見る |
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| 8.
論文（リポジトリ） |
論文（リポジトリ）
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Sudo, Takahiro
概要:
We review and study the Künneth theorem for tensor products of C^*-algebras，which is obtained by Claude Schochet.
紀要論文 |
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| 9.
論文（リポジトリ） |
論文（リポジトリ）
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Sudo, Takahiro
概要:
We review and study the universal coefficient theorem (UCT) and the Künneth htheorem (KT) for Kasparov KK-theory groups，both of which are obtained by Jonathan Rosenberg and Claude Schochet
紀要論文 |
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| 10.
論文（リポジトリ） |
論文（リポジトリ）
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Sudo, Takahiro
概要:
ln this paper we review, rebuild, and study the theory of the set of all extremal points of the unit ball of a C^*-algeb
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ra, consisting of partial isometries with a certain condition, and also the theory of extremally rich C^*-algebras, and moreover, the theory of the λ-function in operator algebras, as well.
紀要論文 続きを見る |
