Reduced free products of completely positive maps and entropy for free product of automorphisms (Q1922294)
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scientific article; zbMATH DE number 927852
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Reduced free products of completely positive maps and entropy for free product of automorphisms |
scientific article; zbMATH DE number 927852 |
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Reduced free products of completely positive maps and entropy for free product of automorphisms (English)
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18 September 1996
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Summary: The reduced free product of unital completely positive maps is defined. An invariant state on a \(C^*\)-algebra for an automorphism (based on the free shift) is the composition of a state of a subalgebra with the reduced free product of expectations. Entropies for the reduced free product and the tensor product of an automorphism \(\gamma\) with the free shift coincide with the entropy of \(\gamma\).
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reduced free product of unital completely positive maps
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invariant state
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\(C^*\)-algebra
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automorphism
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free shift
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reduced free product of expectations
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tensor product
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entropy
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