Positive projections of von Neumann algebras onto \(JW\)-algebras (Q1372481)
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scientific article; zbMATH DE number 1087279
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Positive projections of von Neumann algebras onto \(JW\)-algebras |
scientific article; zbMATH DE number 1087279 |
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Positive projections of von Neumann algebras onto \(JW\)-algebras (English)
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27 January 2002
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Let \(N\) be a von Neumann algebra. We consider faithful normal positive linear idempotant unital maps from \(N\) into itself. The range of such a map is a Jordan algebra \(A\). We show the existence and structure theorems for such maps and for conditional expectations of \(N\) onto the von Neumann algebra generated by \(A\).
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von Neumann algebra
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linear idempotant unital maps
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Jordan algebra
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existence
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structure theorems
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