准 * 代數上 $$C^*$$ 有值正等次線性映射的 GNS 結構

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-08-05 DOI:10.1007/s00009-024-02704-2

Giorgia Bellomonte, Stefan Ivković, Camillo Trapani

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引用次数: 0

摘要

准*代数（(\mathfrak A,{\mathfrak A}_{\scriptscriptstyle 0}）\）上的正不变倍线性形式的GNS构造被推广到从$\mathfrak A\times \mathfrak A$ 到$C^*$-代数（{\mathfrak {C}}）的一类正倍线性映射。结果是在作用于某个准规范的${\mathfrak {C}}$模块的算子空间中取值的*表示。

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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GNS Construction for $$C^*$$ -Valued Positive Sesquilinear Maps on a quasi *-algebra

The GNS construction for positive invariant sesquilinear forms on quasi *-algebra $(\mathfrak A,{\mathfrak A}_{\scriptscriptstyle 0})$ is generalized to a class of positive sesquilinear maps from $\mathfrak A\times \mathfrak A$ into a $C^*$-algebra ${\mathfrak {C}}$. The result is a *-representation taking values in a space of operators acting on a certain quasi-normed ${\mathfrak {C}}$-module.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.