Local preparability of states and the split property in quantum field theory (Q1105816)
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scientific article; zbMATH DE number 4060131
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Local preparability of states and the split property in quantum field theory |
scientific article; zbMATH DE number 4060131 |
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Local preparability of states and the split property in quantum field theory (English)
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1987
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Extending similar results of Buchholz, Doplicher, and Longo, it is shown that the existence of local operations preparing a given local state implies the split property for the local net of observable algebras, i.e., the existence of type I factors interpolating between the observable algebras of regions strictly contained in each other. It is shown that local preparations, if they exist, may be taken to be nonselective.
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existence of local operations preparing a given local state
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split property for the local net of observable algebras
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existence of type I factors
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