Invertibility preserving mappings onto finite C*-algebras
Operator Algebras
2023-01-03 v1 Functional Analysis
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.
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Cite
@article{arxiv.2301.00208,
title = {Invertibility preserving mappings onto finite C*-algebras},
author = {Martin Mathieu and Francois Schulz},
journal= {arXiv preprint arXiv:2301.00208},
year = {2023}
}
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7 pages