Inner ideals in \(W^*\)-algebras (Q1822731)
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scientific article; zbMATH DE number 4113308
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Inner ideals in \(W^*\)-algebras |
scientific article; zbMATH DE number 4113308 |
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Inner ideals in \(W^*\)-algebras (English)
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1989
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An inner ideal in a *-algebra A is a subspace J such that \(\{\) JAJ\(\}\) \(\subseteq J\) where \(\{\) abc\(\}\) denotes the Jordan triple product, \((ab^*c+cb^*a)\). The author shows that when A is a von Neumann algebra the weakly closed inner ideals are just the algebras eAf where e and f are projections.
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inner ideal in a *-algebra
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Jordan triple product
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