Free products of completely positive maps and spectral sets (Q1175007)
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scientific article; zbMATH DE number 9896
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Free products of completely positive maps and spectral sets |
scientific article; zbMATH DE number 9896 |
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Free products of completely positive maps and spectral sets (English)
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25 June 1992
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Let \((A_ i)_{i\in I}\) be a family of unital \(C^*\)-algebras that contain a common \(C^*\)-algebra \(B\). The main result of the paper under review asserts that the amalgamated product of a family of unital completely positive \(B\)-bimodule maps \(\phi_ i: A_ i\to C\) is completely positive on the ``biggest'' amalgamated free product \(\check\ast_ B A^ i\).
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family of unital \(C^*\)-algebras
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amalgamated product of a family of unital completely positive \(B\)-bimodule maps
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amalgamated free product
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