On the definition of real 𝑊*-algebras

Isidro, J.; Palacios, A.

doi:10.1090/S0002-9939-96-03498-3

On the definition of real $W*$-algebras
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by J. M. Isidro and A. Rodríguez Palacios

Proc. Amer. Math. Soc. 124 (1996), 3407-3410

DOI: https://doi.org/10.1090/S0002-9939-96-03498-3

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Abstract:

We prove that, if $A$ is a real $C^*$-algebra having a predual $A_*$, then $A_*$ is the unique predual of $A$ and the product of $A$ is $\sigma (A,A_*)$-continuous.

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