Diagonal states on \({\mathcal O}_ 2\) (Q1121493)
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scientific article; zbMATH DE number 4103745
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Diagonal states on \({\mathcal O}_ 2\) |
scientific article; zbMATH DE number 4103745 |
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Diagonal states on \({\mathcal O}_ 2\) (English)
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1990
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Certain states on the Cuntz algebra \({\mathcal O}_ 2\), and the von Neumann algebras obtained from their GNS representations, are considered. The main result is that every (separable) injective factor can be obtained from a state on \({\mathcal O}_ 2\) which extends the tracial state on the Choi subalgebra. This solves a problem posed by Lazar, Tsui, and Wright.
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states on the Cuntz algebra
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von Neumann algebras
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GNS representations
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injective factor
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tracial state on the Choi subalgebra
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0.8612318
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0.85710275
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0.8427841
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0.84030944
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0.83698434
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0.8353944
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0.8342836
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