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. As follows from Breuer theorem, for the quantum object S measurement by information system O they described by O restricted states RO. RO ansatz can be introduced phenomenologically from the consistency with Shrödinger dynamics and measurement statistics. The analogous restrictions obtained in Algebraic QM considering Segal algebra of S,O observ-ables and the resulting O algebraic states {ϕ O } set defined as its dual space. From Segal theorem for associative (sub)algebras it's shown that ϕ O j describes the random 'pointer' outcomes Oj observed by O in the individual events.