Reduced crossed products associated with Banach algebra dynamical systems (Q285593)
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scientific article; zbMATH DE number 6582608
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Reduced crossed products associated with Banach algebra dynamical systems |
scientific article; zbMATH DE number 6582608 |
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Reduced crossed products associated with Banach algebra dynamical systems (English)
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19 May 2016
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The notions of full and reduced crossed products associated to a strongly continuous action of a locally compact group by \(*\)-automorphisms of a \(C^*\)-algebra are widely used in the theory of operator algebras, and these two crossed products are canonically isomorphic if the group under consideration is amenable. In the paper under review, a general result of this type is established for suitable notions of crossed products associated to group actions on Banach algebras.
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Banach algebra dynamical system
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crossed product
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reduced crossed product
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amenable group
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