Tensor products and \(p\)-induction of representations on Banach spaces (Q1566958)

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scientific article; zbMATH DE number 1454853
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Tensor products and \(p\)-induction of representations on Banach spaces
scientific article; zbMATH DE number 1454853

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    Tensor products and \(p\)-induction of representations on Banach spaces (English)
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    4 June 2000
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    We obtain \(L^p\) versions of the classical theorems of induced representations, namely, the inducing in stages theorem, the Kronecker product theorem, the Frobenius reciprocity theorem and the subgroup theorem. In doing so we adopt the tensor product approach of Rieffel to inducing.
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    tensor products
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    \(p\)-nuclear operators
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    Peter Weil theorem
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    induced representations
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    Kronecker product theorem
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    Frobenius reciprocity theorem
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