Sequential isomorphisms between the sets of von Neumann algebra effects

Lajos Molnar

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Sequential isomorphisms between the sets of von Neumann algebra effects

Lajos Molnar

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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.

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BibTeX RIS

Lajos Molnar. 2003-09-16. Sequential isomorphisms between the sets of von Neumann algebra effects. https://arxiv.org/abs/math/0309257

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