冯诺依曼代数的弱精确性和混合自由积

IF 1.7 2区数学 Q1 MATHEMATICS

Journal of Functional Analysis Pub Date : 2024-11-20 DOI:10.1016/j.jfa.2024.110759

Kai Toyosawa

引用次数: 0

摘要

证明了弱精确冯诺依曼代数的混合自由积是弱精确的。利用Toeplitz-Pimsner代数的一个普适性质和von Neumann代数双模上的一个局部凸拓扑来描述弱精确的von Neumann代数。

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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Weak exactness and amalgamated free product of von Neumann algebras

We show that the amalgamated free product of weakly exact von Neumann algebras is weakly exact. This is done by using a universal property of Toeplitz-Pimsner algebras and a locally convex topology on bimodules of von Neumann algebras, which is used to characterize weakly exact von Neumann algebras.

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来源期刊

Journal of Functional Analysis 数学-数学

CiteScore

3.20

自引率

5.90%

发文量

271

审稿时长

7.5 months

期刊介绍： The Journal of Functional Analysis presents original research papers in all scientific disciplines in which modern functional analysis plays a basic role. Articles by scientists in a variety of interdisciplinary areas are published. Research Areas Include: • Significant applications of functional analysis, including those to other areas of mathematics • New developments in functional analysis • Contributions to important problems in and challenges to functional analysis