量子辛球的坐标代数不嵌入到任何C*代数中

IF 0.5 3区数学 Q3 MATHEMATICS

Journal of Topology and Analysis Pub Date : 2021-12-02 DOI:10.1142/s1793525321500655

F. D’Andrea, G. Landi

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引用次数: 2

摘要

在本文中，我们推广了Mikkelsen-Szymański的一个结果并证明，对于每一个[公式:见文]，量子辛球的任何有界*表示[公式:见文]湮灭了第一个[公式:见文]产生子。然后我们对其坐标代数的不可约表示进行分类[公式:见文本]。

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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The coordinate algebra of a quantum symplectic sphere does not embed into any C*-algebra

In this note, we generalize a result of Mikkelsen–Szymański and show that, for every [Formula: see text], any bounded ∗-representation of the quantum symplectic sphere [Formula: see text] annihilates the first [Formula: see text] generators. We then classify irreducible representations of its coordinate algebra [Formula: see text].

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来源期刊

Journal of Topology and Analysis MATHEMATICS-

CiteScore

1.50

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal is devoted to topology and analysis, broadly defined to include, for instance, differential geometry, geometric topology, geometric analysis, geometric group theory, index theory, noncommutative geometry, and aspects of probability on discrete structures, and geometry of Banach spaces. We welcome all excellent papers that have a geometric and/or analytic flavor that fosters the interactions between these fields. Papers published in this journal should break new ground or represent definitive progress on problems of current interest. On rare occasion, we will also accept survey papers.