Order isomorphisms in $C^*$-algebras
Operator Algebras
2026-01-22 v1 Functional Analysis
Abstract
We provide a complete description of the order isomorphisms between the self-adjoint parts of -algebras. Furthermore, we characterize such isomorphisms between general operator intervals in -algebras. For the description, we use Jordan -isomorphisms and closed operators in the regular rings of -algebras. This work generalizes previous results on von Neumann algebras.
Keywords
Cite
@article{arxiv.2601.14873,
title = {Order isomorphisms in $C^*$-algebras},
author = {Youssef El Khatiri},
journal= {arXiv preprint arXiv:2601.14873},
year = {2026}
}