The reduced \(C^ *\)-algebra of the p-adic group GL(n) (Q579597)
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scientific article; zbMATH DE number 4015482
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The reduced \(C^ *\)-algebra of the p-adic group GL(n) |
scientific article; zbMATH DE number 4015482 |
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The reduced \(C^ *\)-algebra of the p-adic group GL(n) (English)
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1987
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The Lefschetz principle, according to Harish-Chandra, says that whatever is true for real reductive groups is also true for p-adic groups. In this article this principle is investigated in the particular instance of p- adic GL(n). The reduced \(C^*\)-algebra is Morita equivalent to an abelian \(C^*\)-algebra. A precise geometric description of the reduced dual is given. K-theory generators are essentially parametrized by two items of Langlands data.
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Lefschetz principle
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reduced \(C^ *\)-algebra is Morita equivalent to an abelian \(C^ *\)-algebra
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reduced dual
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K-theory generators
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