Sequential isomorphisms between the sets of von Neumann algebra effects

Details Sequential isomorphisms between the sets of von Neumann algebra effects Sequential isomorphisms between the sets of von Neumann algebra effects

2003-09-16

arxiv.org/abs/math/0309257v1

Mathematics

Operator Algebras

To appear in Acta Sci. Math. (Szeged)

Scientific paper

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.

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