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^*

^*Corresponding author for this work

School of Mathematics and Statistics

Huanghuai University

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1394-1406
Number of pages	13
Journal	Open Mathematics
Volume	20
Issue number	1
DOIs	https://doi.org/10.1515/math-2022-0511
Publication status	Published - 1 Jan 2022

Keywords

B-Browder elements
B-Fredholm elements
primitive C-algebra
socle

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title = "B-Fredholm elements in primitive C∗-algebras",

abstract = "Let A \{\textbackslash{}mathcal\{A\}\} be a unital primitive C - \textbackslash{}ast -algebra. This article studies the properties of the B-Fredholm elements, the B-Weyl elements and the B-Browder elements in A \{\textbackslash{}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 \{\textbackslash{}mathcal\{A\}\} is characterized by the B-Fredholm elements.",

keywords = "B-Browder elements, B-Fredholm elements, primitive C-algebra, socle",

author = "Yingying Kong and Lining Jiang",

note = "Publisher Copyright: {\textcopyright} 2022 Yingying Kong and Lining Jiang, published by De Gruyter.",

year = "2022",

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doi = "10.1515/math-2022-0511",

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T1 - B-Fredholm elements in primitive C∗-algebras

AU - Kong, Yingying

AU - Jiang, Lining

PY - 2022/1/1

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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.

KW - B-Browder elements

KW - B-Fredholm elements

KW - primitive C-algebra

KW - socle

UR - https://www.scopus.com/pages/publications/85142194224

U2 - 10.1515/math-2022-0511

DO - 10.1515/math-2022-0511

M3 - Article

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SN - 1895-1074

VL - 20

SP - 1394

EP - 1406

JO - Open Mathematics

JF - Open Mathematics

IS - 1

ER -

B-Fredholm elements in primitive C∗-algebras

Abstract

Keywords

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