Communications in Mathematical Physics

, Volume 86, Issue 4, pp 529–538 | Cite as

Measures on projections and physical states

  • Erik Christensen


It is shown that a finitely additive measure on the projections of a von Neumann algebra withoutI2 andII1 summands is the restriction of a state. A definition of a physical state is proposed, and it is shown that such a physical state on a simpleC*-algebra with unit is a state.


Neural Network Physical State Complex System Nonlinear Dynamics Quantum Computing 
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Copyright information

© Springer-Verlag 1982

Authors and Affiliations

  • Erik Christensen
    • 1
  1. 1.Matematisk InstitutKøbenhavns UniversitetKøbenhavnDanmark

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