紧凑与离散量子群在算子系统上的作用

IF 0.9 2区数学 Q2 MATHEMATICS

International Mathematics Research Notices Pub Date : 2024-05-30 DOI:10.1093/imrn/rnae118

Joeri De Ro, Lucas Hataishi

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引用次数: 0

摘要

我们引入了离散或紧凑量子群对算子系统作用的概念，并研究了等变算子系统的注入性。然后，我们证明了等变注入性与相关交叉积的对偶注入性之间的对偶结果。作为应用，我们给出了由离散量子群对算子系统的作用建立的还原交叉积的等变注入包络的描述。

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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Actions of Compact and Discrete Quantum Groups on Operator Systems

We introduce the notion of an action of a discrete or compact quantum group on an operator system, and study equivariant operator system injectivity. We then prove a duality result that relates equivariant injectivity with dual injectivity of associated crossed products. As an application, we give a description of the equivariant injective envelope of the reduced crossed product built from an action of a discrete quantum group on an operator system.

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来源期刊

International Mathematics Research Notices 数学-数学

CiteScore

2.00

自引率

10.00%

发文量

316

审稿时长

1 months

期刊介绍： International Mathematics Research Notices provides very fast publication of research articles of high current interest in all areas of mathematics. All articles are fully refereed and are judged by their contribution to advancing the state of the science of mathematics.