B-Fredholm elements in primitive C∗-algebras

Yingying Kong; Lining Jiang

doi:10.1515/math-2022-0511

B-Fredholm elements in primitive C∗-algebras

Yingying Kong, Lining Jiang^*

^*此作品的通讯作者

数学学院

Huanghuai University

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

Let A {\mathcal{A}} be a unital primitive C - \ast -algebra. This article studies the properties of the B-Fredholm elements, the B-Weyl elements and the B-Browder elements in A {\mathcal{A}}. Particularly, this article describes the B-Fredholm element as the sum of a Fredholm element and a nilpotent element. In addition, the socle of A {\mathcal{A}} is characterized by the B-Fredholm elements.

源语言	英语
页（从-至）	1394-1406
页数	13
期刊	Open Mathematics
卷	20
期	1
DOI	https://doi.org/10.1515/math-2022-0511
出版状态	已出版 - 1 1月 2022

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Kong, Y., & Jiang, L. (2022). B-Fredholm elements in primitive C∗-algebras. Open Mathematics, 20(1), 1394-1406. https://doi.org/10.1515/math-2022-0511

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abstract = "Let A {\mathcal{A}} be a unital primitive C - \ast -algebra. This article studies the properties of the B-Fredholm elements, the B-Weyl elements and the B-Browder elements in A {\mathcal{A}}. Particularly, this article describes the B-Fredholm element as the sum of a Fredholm element and a nilpotent element. In addition, the socle of A {\mathcal{A}} is characterized by the B-Fredholm elements.",

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AU - Jiang, Lining

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N2 - Let A {\mathcal{A}} be a unital primitive C - \ast -algebra. This article studies the properties of the B-Fredholm elements, the B-Weyl elements and the B-Browder elements in A {\mathcal{A}}. Particularly, this article describes the B-Fredholm element as the sum of a Fredholm element and a nilpotent element. In addition, the socle of A {\mathcal{A}} is characterized by the B-Fredholm elements.

AB - Let A {\mathcal{A}} be a unital primitive C - \ast -algebra. This article studies the properties of the B-Fredholm elements, the B-Weyl elements and the B-Browder elements in A {\mathcal{A}}. Particularly, this article describes the B-Fredholm element as the sum of a Fredholm element and a nilpotent element. In addition, the socle of A {\mathcal{A}} is characterized by the B-Fredholm elements.

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KW - socle

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B-Fredholm elements in primitive C∗-algebras

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