Jaming, Philippe; Moran, William Tensor products and \(p\)-induction of representations on Banach spaces. (English) Zbl 0949.43007 Collect. Math. 51, No. 1, 83-109 (2000). 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. Reviewer: Philippe Jaming (Orléans) Cited in 1 Document 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 Keywords:tensor products; \(p\)-nuclear operators; Peter Weil theorem; induced representations; Kronecker product theorem; Frobenius reciprocity theorem PDFBibTeX XMLCite \textit{P. Jaming} and \textit{W. Moran}, Collect. Math. 51, No. 1, 83--109 (2000; Zbl 0949.43007) Full Text: EuDML