Maximal von Neumann subalgebras in type I von Neumann algebras

被引：0

作者：

Zhou, Xiaoyan ^{[1
]}

机构：

[1] Dongbei Univ Finance & Econ, Dalian 116025, Liaoning, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2024年 / 532卷 / 02期

关键词：

Maximal von Neumann subalgebras; Type I von Neumann algebras; Maximal subfactors; INTERMEDIATE SUBFACTORS; INJECTIVE SUBALGEBRAS; TENSOR-PRODUCTS; ABSORPTION; INDEX;

D O I：

10.1016/j.jmaa.2023.127918

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we investigate maximal von Neumann subalgebras and obtain complete description results of such subalgebras in all type I von Neumann algebras M with separable predual. This is done by first studying the cases M being L(Z) and B(H), and then lifting to the direct sums and tensor products of such algebras. (c) 2023 Elsevier Inc. All rights reserved.

引用

页数：13

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