On a construction of the maximal additive field of v. Neumann algebras in quantum field theory |
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Authors: | B Pawlik P Sadowski |
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Institution: | Department of Mathematical Methods of Physics, Warsaw University, Warsaw, Poland |
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Abstract: | The construction presented below shows how an algebra without the additive property (called shortly a non-additive algebra) can be reduced to an additive algebra. The algebra obtained this way is the largest additive algebra contained in the original non- additive algebra. Additivity is one of the features postulated for the observable algebra in Haag's field theory (algebras of this type, belonging to a special class, are called by Haag kinematical ones). From another way it is well known that there are many algebras without such property (e.g. the algebra of fermions). |
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