On the relation between types of local algebras in different global representations (Q1174241)
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scientific article; zbMATH DE number 8323
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the relation between types of local algebras in different global representations |
scientific article; zbMATH DE number 8323 |
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On the relation between types of local algebras in different global representations (English)
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25 June 1992
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The authors investigate relations between generalized Connes invariants of von Neumann algebras given by representations of invariant states of \(C^*\)-dynamical systems. The interesting results are then applied in the theory of local observables. It is shown that if a representation is connected with the vacuum by large translation then the wedge algebra is of type \(III_ 1\) under the condition that it is true for the vacuum representation.
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generalized Connes invariants of von Neumann algebras
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representations of invariant states of \(C^*\)-dynamical systems
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local observables
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wedge algebra
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vacuum representation
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0.8966664
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0.8962135
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0.8887155
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0.8882986
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0.8854456
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0.88391554
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0.88378197
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