On finite index subfactors of super McDuff II1 factors

被引：0

作者：

Gao, David ^{[1
]}

Elayavalli, Srivatsav Kunnawalkam ^{[1
]}

机构：

[1] Univ Calif San Diego, Dept Math, 9500 Gilman Dr 0112, La Jolla, CA 92093 USA

来源：

JOURNAL OF LOGIC AND ANALYSIS | 2025年 / 17卷

关键词：

II; factor; subfactor; Jones index; super McDuff property; CENTRAL-SEQUENCES; RIGIDITY;

D O I：

10.4115/jla.2025.17.5

中图分类号：

B81 [逻辑学（论理学）];

学科分类号：

010104 ; 010105 ;

摘要：

A II1 factor M has the super McDuff property if the central sequence algebra M' f1 MU is a II1 factor. Suppose that N C M be an inclusion of II1 factors with finite Jones index. In this note we prove that N has the super McDuff property if and only if M has the super McDuff property. We prove also that the same permanence result holds in the case of the uniform super McDuff property introduced recently in [16]. This answers a question posed by I. Goldbring.

引用

页码：1 / 8

页数：8

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