Fullness of q $q$ -Araki-Woods factors

IF 1 2区数学 Q1 MATHEMATICS

Journal of the London Mathematical Society-Second Series Pub Date : 2024-09-18 DOI:10.1112/jlms.12989

Manish Kumar, Simeng Wang

引用次数: 0

Abstract

The $q$ -Araki-Woods factor associated to a group of orthogonal transformations on a real separable Hilbert space $H_{R}$ is full as soon as $dim H_{R} ⩾ 2$ .

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qq$ 的饱满度 -阿拉基-伍兹系数

当 dim H R ⩾ 2 $\dim \mathsf {H}_{\mathbb {R}}\geqslant 2$ 时，与实可分离希尔伯特空间 H R $\mathsf {H}_{\mathbb {R}} 上的正交变换组相关的 q $q$ -Araki-Woods 因子就是完整的。

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 the London Mathematical Society-Second Series 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

186

审稿时长

6-12 weeks

期刊介绍： The Journal of the London Mathematical Society has been publishing leading research in a broad range of mathematical subject areas since 1926. The Journal welcomes papers on subjects of general interest that represent a significant advance in mathematical knowledge, as well as submissions that are deemed to stimulate new interest and research activity.