Characterizing Jordan Homomorphisms

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Abstract

It is shown that every bounded, unital linear mapping that preserves elements of square zero from a C*-algebra of real rank zero and without tracial states into a Banach algebra is a Jordan homomorphism
Original languageEnglish
Pages (from-to)697-701
Number of pages5
JournalActa Scientiarum Mathematicarum
Volume86
Issue number3-4
DOIs
Publication statusPublished - 09 Dec 2020

Keywords

  • C*-algebras, commutators, nilpotents, tracial states, Jordan homomorphisms, spectrally bounded operators.

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