I型局部紧量子群的模性质

IF 0.7 4区数学 Q2 MATHEMATICS Journal of Operator Theory Pub Date : 2020-06-04 DOI:10.7900/jot.2020sep23.2312

Jacek Krajczok

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引用次数: 4

摘要

下面的论文致力于研究I型局部紧量子群。我们展示了与G上的Haar积分的模理论相关的各种算子如何在直接积分的水平上起作用。利用这些结果，我们导出了诸如Haar积分的幺模性或跟踪性等性质之间的蕴涵网。我们还详细研究了两个例子：离散量子群ξSUq（2）和量子az+b群。

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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Modular properties of type I locally compact quantum groups

The following paper is devoted to the study of type I locally compact quantum groups. We show how various operators related to the modular theory of the Haar integrals on G and ˆG act on the level of direct integrals. Using these results we derive a web of implications between properties such as unimodularity or traciality of the Haar integrals. We also study in detail two examples: discrete quantum group ˆSUq(2) and the quantum az+b group.

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来源期刊

Journal of Operator Theory 数学-数学

CiteScore

1.30

自引率

12.50%

发文量

审稿时长

12 months

期刊介绍： The Journal of Operator Theory is rigorously peer reviewed and endevours to publish significant articles in all areas of operator theory, operator algebras and closely related domains.

期刊最新文献

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