Nuclear maps and modular structures. I: General properties (Q917863)
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scientific article; zbMATH DE number 4157273
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nuclear maps and modular structures. I: General properties |
scientific article; zbMATH DE number 4157273 |
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Nuclear maps and modular structures. I: General properties (English)
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1990
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With every inclusion of von Neumann algebras \(A\subset B\) one can associate a natural embedding \(\phi\) : \(L^{\infty}(A)\to L^ p(B)\). Then the split property of \(A\subset B\) (existence of an intermediate type I factor) is closely related to nuclearity and compactness properties of \(\phi\).
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inclusion of von Neumann algebras
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natural embedding
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split property
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nuclearity
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compactness
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