关于Fock空间上创建算子的双精确性的注记

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of the Mathematical Society of Japan Pub Date : 2021-01-26 DOI:10.2969/jmsj/86338633

K. Hasegawa, Yusuke Isono, T. Kanda

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引用次数: 0

摘要

在本文中，我们引入并研究了作用于全、对称和反对称Fock空间上的创建算子的双精度概念。这是我们之前工作的一个推广，在之前的工作中，我们研究了反对称Fock空间的情况。结果，我们得到了新的固体作用的例子，以及一些已知固体作用的新证明。我们也在同样的背景下研究自由花环产品组。

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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Note on bi-exactness for creation operators on Fock spaces

In this note, we introduce and study a notion of bi-exactness for creation operators acting on full, symmetric and anti-symmetric Fock spaces. This is a generalization of our previous work, in which we studied the case of anti-symmetric Fock spaces. As a result, we obtain new examples of solid actions as well as new proofs for some known solid actions. We also study free wreath product groups in the same context.

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来源期刊

Journal of the Mathematical Society of Japan 数学-数学

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of the Mathematical Society of Japan (JMSJ) was founded in 1948 and is published quarterly by the Mathematical Society of Japan (MSJ). It covers a wide range of pure mathematics. To maintain high standards, research articles in the journal are selected by the editorial board with the aid of distinguished international referees. Electronic access to the articles is offered through Project Euclid and J-STAGE. We provide free access to back issues three years after publication (available also at Online Index).