Mixture preserving maps on von Neumann algebra effects

L. Molnár, Werner Timmermann

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

In this paper we determine the structure of all bijective maps between the effect algebras of different von Neumann algebras which preserve mixtures in both directions. In particular, we obtain that every such preserver is a mixture isomorphism.

Original languageEnglish
Pages (from-to)295-302
Number of pages8
JournalLetters in Mathematical Physics
Volume79
Issue number3
DOIs
Publication statusPublished - Mar 2007

Fingerprint

Von Neumann Algebra
preserving
algebra
Preserver
Effect Algebra
isomorphism
Bijective
Isomorphism

Keywords

  • Effect algebra
  • Mixture
  • Mixture isomorphisms
  • Preservers

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Mixture preserving maps on von Neumann algebra effects. / Molnár, L.; Timmermann, Werner.

In: Letters in Mathematical Physics, Vol. 79, No. 3, 03.2007, p. 295-302.

Research output: Contribution to journalArticle

Molnár, L. ; Timmermann, Werner. / Mixture preserving maps on von Neumann algebra effects. In: Letters in Mathematical Physics. 2007 ; Vol. 79, No. 3. pp. 295-302.
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