\(C^\ast\)-algebraic intertwiners for principal series: case of \(\mathrm{SL}(2)\) (Q2345691)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(C^\ast\)-algebraic intertwiners for principal series: case of \(\mathrm{SL}(2)\) |
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\(C^\ast\)-algebraic intertwiners for principal series: case of \(\mathrm{SL}(2)\) (English)
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22 May 2015
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Following the Rieffel's theory of induced representations of \(C^*\)-algebras, the author constructs Hilbert \(C^*\)-modules over \(C^*_r(G)\) describing the principal series of \(G=\mathrm{GL}(2)\), and then, by explicitly normalizing intertwining operators between equivalent representations, obtains unitary operators between these Hilbert \(C^*\)-modules.
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group \(C^*\)-algebra
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Hilbert module
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principal series representation
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intertwining operator
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