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Commutative $C^*$-algebras and $σ$-normal morphisms

Marcel de Jeu
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Abstract

We prove in an elementary fashion that the image of a commutative monotone $σ$-complete $C^*$-algebra under a $σ$-normal morphism is again monotone $σ$-complete and give an application of this result in spectral theory.

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Marcel de Jeu. 2007-10-15. Commutative $C^*$-algebras and $σ$-normal morphisms. https://arxiv.org/abs/math/0311107

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