Quasi-representations of Finsler modules over \(C^*\)-algebras (Q2859496)
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scientific article; zbMATH DE number 6224011
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quasi-representations of Finsler modules over \(C^*\)-algebras |
scientific article; zbMATH DE number 6224011 |
Statements
8 November 2013
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Finsler module
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\(C^*\)-algebra
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\(\varphi\)-morphism
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non-degenerate quasi-representation
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irreducible quasi-representation
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Quasi-representations of Finsler modules over \(C^*\)-algebras (English)
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The authors prove that every Finsler module over a \(C^*\)-algebra has a quasi-representation into the Banach space \(B(H,K)\) of all bounded linear operators acting on suitable Hilbert spaces \(H\) and \(K\). Based on the notion of completely positive \(\varphi\)-morphism, they establish a Stinespring-type theorem in the framework of Finsler modules over \(C^*\)-algebras. The nondegeneracy and the irreducibility of quasi-representations are also investigated.
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