稳定秩为1与实秩为0的C *代数中酉轨道之间的距离

IF 0.7 4区数学 Q2 MATHEMATICS Journal of Operator Theory Pub Date : 2021-11-15 DOI:10.7900/jot.2020apr21.2306

G. Elliott, Zhichao Liu

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引用次数: 0

摘要

设A是一个稳定秩为1、实秩为0的C*-代数。本文证明了A中正元素的近似酉等价类（或酉轨道）上定义的一般距离dU等于C0（0,1）的Cuntz半群到A的Cuntz-半群的态射上定义的距离dW。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Distance between unitary orbits in C∗-algebras with stable rank one and real rank zero

Let A be a C∗-algebra with stable rank one and real rank zero. In this paper, it is shown that the usual distance dU defined on the approximate unitary equivalence classes (or unitary orbits) of the positive elements in A is equal to the distance dW defined on morphisms from Cuntz semigroup of C0(0,1] to the Cuntz semigrout of A.

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来源期刊

Journal of Operator Theory 数学-数学

CiteScore

1.30

自引率

12.50%

发文量

审稿时长

12 months

期刊介绍： The Journal of Operator Theory is rigorously peer reviewed and endevours to publish significant articles in all areas of operator theory, operator algebras and closely related domains.

期刊最新文献

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