Sequential isomorphisms between the sets of von Neumann algebra effects
Operator Algebras
2007-05-23 v1 Mathematical Physics
math.MP
Quantum Physics
Abstract
In this paper we describe the structure of all sequential isomorphisms between the sets of von Neumann algebra effects. It turns out that if the underlying algebras have no commutative direct summands, then every sequential isomorphism between the sets of their effects extends to the direct sum of a *-isomorphism and a *-antiisomorphism between the underlying von Neumann algebras.
Cite
@article{arxiv.math/0309257,
title = {Sequential isomorphisms between the sets of von Neumann algebra effects},
author = {Lajos Molnar},
journal= {arXiv preprint arXiv:math/0309257},
year = {2007}
}
Comments
To appear in Acta Sci. Math. (Szeged)