Jordan isomorphism of purely infinite C*-algebras

• Autores: Ying-Fen Lin, Martin Mathieu
• Localización: Quarterly journal of mathematics, ISSN 0033-5606, Vol. 58, Nº. 2, 2007, págs. 249-253
• Idioma: inglés
• DOI: 10.1093/qmath/hal024
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• Resumen

  • We prove that every unital bounded linear mapping from a unital purely infinite C*-algebra of real rank zero into a unital Banach algebra which preserves elements of square zero is a Jordan homomorphism. This entails a description of unital surjective spectral isometries as the Jordan isomorphisms in this setting.