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 | |
| Publication status | Published - 1 Jan 2022 |
Keywords
- B-Browder elements
- B-Fredholm elements
- primitive C-algebra
- socle