Commutative $C^*$-algebras and $\sigma$-normal morphisms

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de Jeu, Marcel;
  • Subject: Mathematics - Operator Algebras | 46L05 | Mathematics - Functional Analysis | 46L10

We prove in an elementary fashion that the image of a commutative monotone $\sigma$-complete $C^*$-algebra under a $\sigma$-normal morphism is again monotone $\sigma$-complete and give an application of this result in spectral theory.
  • References (7)

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    [5] G.K. Pedersen, Analysis Now, Springer-Verlag, New York, 1989.

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    [7] J.D.M. Wright, On minimal σ-completions of C∗-algebras, Bull. London Math. Soc. 6 (1974), 168-174. M.F.E. de Jeu, Mathematical Institute, Leiden University, P.O. Box 9512, 2300 RA Leiden, The Netherlands E-mail address:

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