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

Giorgia Bellomonte; Stefan Ivkovic; Camillo Trapani

doi:10.1007/s00009-024-02704-2

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

Operator Algebras 2024-08-08 v2

Authors: 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.

Keywords

GNS construction positive C*-valued sesquilinear map quasi *-algebra *-representation quasi-normed C-module sesquilinear form

Cite

@article{arxiv.2403.16597,
  title  = {GNS-construction for positive C*-valued sesquilinear maps on a quasi *-algebra},
  author = {Giorgia Bellomonte and Stefan Ivkovic and Camillo Trapani},
  journal= {arXiv preprint arXiv:2403.16597},
  year   = {2024}
}

Comments

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