Multivariable Wiener-Hopf operators II. Spectral topology and solvability (Q1096152)
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scientific article; zbMATH DE number 4030298
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multivariable Wiener-Hopf operators II. Spectral topology and solvability |
scientific article; zbMATH DE number 4030298 |
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Multivariable Wiener-Hopf operators II. Spectral topology and solvability (English)
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1987
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The \(C^*\)-algebras generated by Wiener-Hopf operators on tangible closed cones are solvable: they have finite composition series of ideals with subquotients which are homogeneous \(C^*\)-algebras with continuous trace. In particular this refers to cones with piecewise smooth boundary and to cones which are finite sets of orbits under some linear action. [For part I see ibid. 9, 537-556 (1986; Zbl 0607.47021).]
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multivariable Wiener-Hopf operators
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\(C^ *\)-algebras generated by Wiener-Hopf operators on tangible closed cones are solvable
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finite composition series of ideals
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subquotients
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homogeneous \(C^ *\)-algebras with continuous trace
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