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arXiv · 2403.16597

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

Giorgia Bellomonte·Stefan Ivkovic·Camillo Trapani
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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.

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Giorgia Bellomonte, Stefan Ivkovic, Camillo Trapani. 2024-03-25. GNS-construction for positive C*-valued sesquilinear maps on a quasi *-algebra. https://doi.org/10.1007/s00009-024-02704-2

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