Sequential isomorphisms between the sets of von Neumann algebra effects
算子代数
2007-05-23 v1 数学物理
math.MP
量子物理
摘要
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.
引用
@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}
}
备注
To appear in Acta Sci. Math. (Szeged)