April 6, 2024Open Access

Multiplicatively spectrum-preserving maps on C^*-algebras

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Abstract

We study surjective maps between the sets of all self-adjoint elements of unital C^*-algebras which satisfy the multiplicatively spectrum-preserving property. We show that such maps are characterized by Jordan isomorphisms and central symmetries. This is an answer to a problem posed by Moln\'ar.

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Mori et al. (Sat,) studied this question.

synapsesocial.com/papers/68e7031db6db64358767ce1d https://doi.org/https://doi.org/10.48550/arxiv.2404.04563

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