Quantum Measurements and Information Restrictions in Algebraic QM
  It's argued that Information-Theoretical restrictions for the systems selfdescription are important for Quantum Measurement Problem. They are described by O information system restricted states R formalism by Breuer and can be obtained also in Algebraic QM considering Segal Algebra of O observables. From Segal theorem it's shown that R describes the random measurement outcomes in the individual events. 
S.Mayburov