Journal of Lie Theory

no. 1
An Imprimitivity Theorem for Representations of a Semi-Direct Product Hypergroup
Journal of Lie Theory, Volume 24 (2014) no. 1, pp. 159-178
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 $(K, C_0(X), \alpha)$.
DOI: 10.5802/jolt.780
Classification: 22D30, 22F50, 20N20, 43A62
Keywords: Induced representation, imprimitivity theorem, hypergroup 
@article{JOLT_2014_24_1_a7,
     author = {H. Heyer and S. Kawakami},
     title = {An {Imprimitivity} {Theorem} for {Representations} of a {Semi-Direct} {Product} {Hypergroup}},
     journal = {Journal of Lie Theory},
     pages = {159--178},
     year = {2014},
     volume = {24},
     number = {1},
     doi = {10.5802/jolt.780},
     zbl = {1291.43006},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.780/}
}
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H. Heyer; S. Kawakami. An Imprimitivity Theorem for Representations of a Semi-Direct Product Hypergroup. Journal of Lie Theory, Volume 24 (2014) no. 1, pp. 159-178. doi: 10.5802/jolt.780

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