On permanence of regularity properties

IF 0.5 3区数学 Q3 MATHEMATICS

Journal of Topology and Analysis Pub Date : 2023-05-12 DOI:10.1142/s1793525323500140

H. Lee, H. Osaka

引用次数: 1

Abstract

. We study a pair of C ∗ -algebras ( A, B ) by associating a ∗ -homomorphism from A to B which allows an approximate left inverse to the ultrapower C ∗ -algebra of A as a completely positive map of order zero and show that important regularity properties related to the Elliott program pass from B to A in our setting.

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关于正则性的持久性

。我们研究了一对C∗-代数(a, B)，它允许a的超幂C∗-代数的近似左逆作为0阶的完全正映射，并证明了与Elliott规划相关的重要正则性在我们的设置中从B传递到a。

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 Topology and Analysis MATHEMATICS-

CiteScore

1.50

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal is devoted to topology and analysis, broadly defined to include, for instance, differential geometry, geometric topology, geometric analysis, geometric group theory, index theory, noncommutative geometry, and aspects of probability on discrete structures, and geometry of Banach spaces. We welcome all excellent papers that have a geometric and/or analytic flavor that fosters the interactions between these fields. Papers published in this journal should break new ground or represent definitive progress on problems of current interest. On rare occasion, we will also accept survey papers.