Geodesic
An Imprimitivity Theorem for Representations of a Semi-Direct Product Hypergroup
Journal of Lie theory, Tome 24 (2014) no. 1, pp. 159-178.

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The purpose of the present paper is to establish an imprimitivity theorem for representations of a semi-direct product hypergroup $K = H \rtimes_\beta G$ defined by a smooth action $\beta$ of a locally compact group $G$ on a hypergroup $H$. The proof of the theorem relies on a smooth irreducible absorbing action $\alpha$ of $K$ on a locally compact space $X$ and on an imprimitivity condition for the triplet $(K, C_0(X), \alpha)$.
Classification : 22D30, 22F50, 20N20, 43A62
Mots-clés : Induced representation, imprimitivity theorem, hypergroup 
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     author = {H. Heyer and S. Kawakami },
     title = {An {Imprimitivity} {Theorem} for {Representations} of a {Semi-Direct} {Product} {Hypergroup}},
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H. Heyer; S. Kawakami . An Imprimitivity Theorem for Representations of a Semi-Direct Product Hypergroup. Journal of Lie theory, Tome 24 (2014) no. 1, pp. 159-178. http://geodesic.mathdoc.fr/item/JLT_2014_24_1_JLT_2014_24_1_a7/