GNS-construction for positive C*-valued sesquilinear maps on a quasi *-algebra

Abstract

The GNS construction for positive invariant sesquilinear forms on quasi *-algebras is generalized to a class of positive C*-valued sesquilinear maps on quasi *-algebras. The result is a *-representation taking values in a space of operators acting on a certain quasi-normed C-module.

This preprint has not undergone peer review (when applicable) or any post-submission improvements or corrections. The Version of the Record of this article is published in Mediterranean Journal of Mathematics and is available online at https://doi.org/10.1007/s00009-024-02704-2

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