Symmetric states of infinite tensor products of C*-algebras
Symmetric states of infinite tensor products of C*-algebras
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DOI：
10.1016/0022-1236(69)90050-0
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发表时间：
1969-02
影响因子：
1.7
通讯作者：
E. Størmer
中科院分区：
文献类型：
--
作者：
E. Størmer
C*-代数的无穷张量积，特别是复2 × 2矩阵的无穷张量积，在算子理论中具有重要的意义。例如，构造不同类型因子的最有成效的技术，可能是在不同的表示中取无限张量积的弱闭包。此外，一些重要的C*-代数，如对易关系和反对易关系，与C*-代数的无穷张量积密切相关。由于当无限张量积中的所有因子都是阿贝尔时，我们也可以将该理论应用于积空间的测量理论，我们看到C*-代数的无限张量积理论可能具有巨大的潜在重要性。本文将研究无穷张量积VI
Infinite tensor products of C*-algebras, and even more specially of the complex 2 x 2 matrices, have been of great importance in operator theory. For example, the perhaps most fruitful technique for constructing different types of factors, has been to take weak closures of infinite tensor products in different representations. In addition, some of the C*-algebras of main interest, those of the commutation and the anticommutation relations, are closely related to infinite tensor products of C*-algebras. Since we can also apply the theory, when all factors in the infinite tensor product are abelian, to measure theory on product spaces, we see that the theory of infinite tensor products of C*-algebra may have great potential importance. In the present paper we shall study the infinite tensor product VI