Abstract
We prove that every surjective unital linear mapping which preserves invertible elements from a Banach algebra onto a C∗-algebra carrying a faithful tracial state is a Jordan homomorphism, thus generalising Aupetit’s 1998 result for finite von Neumann algebras.
| Original language | English |
|---|---|
| Pages (from-to) | 113-120 |
| Number of pages | 8 |
| Journal | Studia Mathematica |
| Volume | 272 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2023 |
Keywords
- C-algebras
- Jordan homomorphisms
- invertibility preserving mappings
- tracial states
ASJC Scopus subject areas
- General Mathematics