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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Nuclear C*-algebra ： ウィキペディア英語版 Nuclear C*-algebra In mathematics, a nuclear C *-algebra is a C *-algebra ''A'' such that the injective and projective C *-cross norms on ''A''⊗''B'' are the same for every C *-algebra ''B''. These were first studied by under the name "Property T" (this is unconnected with Kazhdan's property T). == Characterizations == Nuclearity admits the following equivalent characterizations: *A C *-algebra is nuclear if the identity map, as a completely positive map, approximately factors through matrix algebras. Abelian C *-algebras are nuclear. One might say that nuclearity means that the C *-algebra admits noncommutative "partitions of unity." *A C *-algebra is nuclear if and only if its enveloping von Neumann algebra is injective. *A separable C *-algebra is nuclear if and only if it is isomorphic to a C *-subalgebra ''B'' of the Cuntz algebra $\backslash mathcal\_2$ with the property that there exists a conditional expectation from $\backslash mathcal\_2$ to ''B''. *A C *-algebra is nuclear if and only if it is amenable as a Banach algebra. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Nuclear C*-algebra」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.