Free and residually finite-dimensional \(C^*\)-algebras (Q920362)
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scientific article; zbMATH DE number 4163547
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Free and residually finite-dimensional \(C^*\)-algebras |
scientific article; zbMATH DE number 4163547 |
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Free and residually finite-dimensional \(C^*\)-algebras (English)
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1990
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Any \(C^*\)-algebra B is the image of a residually finite-dimensional \(C^*\)-algebra A, i.e. A has a separating family of finite-dimensional representations. A satisfies the stable range 1 condition when B does. Any \(C^*\)-group algebra over a group which is a free product of free and finite groups is residually finite-dimensional.
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Any \(C^ *\)-algebra is the image of a residually finite-dimensional \(C^ *\)-algebra
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separating family of finite-dimensional representations
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stable range 1 condition
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