Nuclear dimension of extensions of O∞-stable algebras

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of Operator Theory Pub Date : 2022-06-15 DOI:10.7900/jot.2020dec21.2321

Samuel Evington

引用次数: 3

Abstract

We obtain an improved upper bound for the nuclear dimension of extensions of O∞-stable C∗-algebras. In particular, we prove that the nuclear dimension of a full extension of an O∞-stable C∗-algebra by a stable AF algebra is one.

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O∞稳定代数扩展的核维数

我们得到了O∞-稳定C * -代数扩展的核维数的改进上界。特别地，我们证明了一个O∞-稳定C * -代数被一个稳定AF代数完全扩展的核维数是1。

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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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.