The Cuntz Comparison in the Standard C -Algebra
The Cuntz Comparison in the Standard C -Algebra
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标准 C 代数中的 Cuntz 比较
DOI：
10.1155/2014/623520
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发表时间：
2014
影响因子：
--
通讯作者：
Xu Xiao-Ming
中科院分区：
文献类型：
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作者：
Fang Xiaochun;Sze Nung-Sing;Xu Xiao-Ming
1978年初，Cuntz引入了Cuntz比较，将每个C*-代数与一个阿贝尔半群联系起来，这个阿贝尔半群是核C*-代数分类的不变量，称为Cuntz半群。本文研究了标准C*-代数中的Cuntz比较。我们的特点的Cuntz比较的操作范围的尺寸。此外，我们考虑了半线性映射的结构，保持Cuntz比较。
The Cuntz comparison, introduced by Cuntz in early 1978, associates each C*‐algebra with an abelian semigroup which is an invariant for the classification of the nuclear C*‐algebras and called the Cuntz semigroup. In this paper, we study the Cuntz comparison in the standard C*‐algebra. We characterize the Cuntz comparison in terms of the dimension of the operator range. Also, we consider the structure of the semilinear map which preserves the Cuntz comparison.