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arXiv · 2301.00208

Invertibility preserving mappings onto finite C*-algebras

Martin Mathieu·Francois Schulz
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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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Martin Mathieu, Francois Schulz. 2022-12-31. Invertibility preserving mappings onto finite C*-algebras. https://arxiv.org/abs/2301.00208

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