On the cohomology groups of certain finite von Neumann algebras (Q1359517)
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scientific article; zbMATH DE number 1031520
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the cohomology groups of certain finite von Neumann algebras |
scientific article; zbMATH DE number 1031520 |
Statements
On the cohomology groups of certain finite von Neumann algebras (English)
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28 April 1998
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It is proved that the second and third continuous Hochschild cohomology groups of finite von Neumann algebras with Cartan subalgebras are trivial. With this aim the new techniques based on Grothendieck's inequality and the Haagerup tensor product is developed.
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continuous Hochschild cohomology groups
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finite von Neumann algebras
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Cartan subalgebras
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Grothendieck's inequality
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Haagerup tensor product
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0.95882916
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0.9360924
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0.92666453
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0.92069846
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