A Hilbert 𝐶*-module not anti-isomorphic to itself

Asadi, Mohammad; Khosravi, A.

doi:10.1090/S0002-9939-06-08474-7

A Hilbert $C^*$-module not anti-isomorphic to itself
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by Mohammad B. Asadi and A. Khosravi PDF

Proc. Amer. Math. Soc. 135 (2007), 263-267 Request permission

Abstract:

We study the complexification of real Hilbert $C^*$-modules over real $C^*$-algebras. We give an example of a Hilbert $\mathcal {A}_c$-module that is not the complexification of any Hilbert $\mathcal {A}$-module, where $\mathcal {A}$ is a real $C^*$-algebra.

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