Simple injective subfactors (Q1821315)
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scientific article; zbMATH DE number 3998535
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Simple injective subfactors |
scientific article; zbMATH DE number 3998535 |
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Simple injective subfactors (English)
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1987
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The main theorem of this paper states that, for any infinite factor M on a separable Hilbert space H, there exist a simple injective subfactor \(R\subset M\), where simple means \[ R\vee JRJ=B(H) \] with J any modular conjugation of M. A simple subfactor R has the poperty that it determines the isomorphisms of M. The theorem is achieved by developping a study of the joint modular theory of an inclusion of von Neumann algebras.
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simple injective subfactor
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modular conjugation
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joint modular theory of an inclusion of von Neumann algebras
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0.83695126
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0.83456874
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0.83261067
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