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Tensor products and \(p\)-induction of representations on Banach spaces. (English) Zbl 0949.43007

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.

MSC:

43A65 Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis)
22D12 Other representations of locally compact groups
22D30 Induced representations for locally compact groups
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