Primitive ideals of locally \(C^*\)-algebras (Q1851404)
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scientific article; zbMATH DE number 1846803
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Primitive ideals of locally \(C^*\)-algebras |
scientific article; zbMATH DE number 1846803 |
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Primitive ideals of locally \(C^*\)-algebras (English)
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17 December 2002
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The author considers locally \(m\)-convex algebras provided with \(C^*\)-seminorms and extends to this case some results known for usual \(C^*\)-algebras. In particular, she proves that every primitive ideal in such an algebra is closed and that the kernel of every continuous topologically irreducible representation is a closed primitive ideal.
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topologically irreducible representations
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primitive ideals
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