Invertibility preserving mappings onto finite C*-algebras

Martin Mathieu; Francois Schulz

doi:10.4064/sm230101-27-3

Invertibility preserving mappings onto finite C*-algebras

Martin Mathieu
, Francois Schulz

School of Mathematics and Physics

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

1 Citation (Scopus)

127 Downloads (Pure)

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
Early online date	26 May 2023
DOIs	https://doi.org/10.4064/sm230101-27-3
Publication status	Published - 03 Oct 2023

Keywords

math.OA
math.FA
47B48, 47A10, 46L05, 46L30, 16W10, 17C65

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10.4064/sm230101-27-3Licence: Unspecified

Invertibility preserving mappings onto finite C*-algebras
© Instytut Matematyczny PAN 2023 This is an accepted manuscript distributed under a Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium, provided the author and source are cited.
Accepted author manuscript, 843 KBLicence: Unspecified

Cite this

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Invertibility preserving mappings onto finite C*-algebras

Abstract

Keywords

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