关于C*-代数的算子空间投影张量积的一个注记
A Note on the Operator Space Projective Tensor Product of C*-Algebras

作者: 季井先 * , 陈培鑫 :南京理工大学理学院;

关键词: 算子空间投影张量积C*-代数Operator Space Projective Tensor Product C*-Algebras

摘要: 对于C*-代数,我们讨论Banach*-代数的一些性质。接着我们证明C*-代数的算子空间投影张量积保持*-同态映射并给出Banach*-代数的一个全局性性质。最后得到一个关于对偶空间的收敛性质的刻画。

Abstract: For C*-algebras  and , we discuss some properties of the Banach*-algebra . Then, we prove that the operator space projective tensor product of C*-algebras preserves *-homomorphism and a universal property of Banach*-algebra  will be given. At last, a characterization of the convergence property of dual space  is also obtained.

文章引用: 季井先 , 陈培鑫 (2013) 关于C*-代数的算子空间投影张量积的一个注记。 理论数学, 3, 176-180. doi: 10.12677/PM.2013.33026

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