Exact C*-Algebras, Tensor Products, and the Classification of Purely Infinite Algebras
Exact C*-Algebras, Tensor Products, and the Classification of Purely Infinite Algebras
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精确 C* 代数、张量积和纯无穷代数的分类
DOI：
10.1007/978-3-0348-9078-6_87
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发表时间：
1995
影响因子：
1.8
通讯作者：
E. Kirchberg
中科院分区：
文献类型：
--
作者：
E. Kirchberg
我们的调查（和参考列表）并不反映算子代数张量积的历史。在这里，我们利用张量积函子的范畴的C-代数作为统一原则。我们的理论在Elliott [13]的分类问题中的应用可以在本文的最后找到。在整个文件中，代数是指C*-代数和VN-代数是指冯诺依曼代数。L（H）是无穷维希尔伯特空间上的有界算子代数。
Our survey (and the reference list) does not reflect the history of tensor products of operator algebras. Here we make use of tensor product functors on the category of C-algebras as a unifying principle. An application of our theory to the classification problem of Elliott [13] can be found at the end of this paper. Throughout the paper algebra means C*-algebra and vN-algebra means von Neumann algebra. L (H) is the algebra of bounded operators on a Hilbert space of infinite dimension.