1Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, 72076 Tübingen, Germany 2Dept. of Mathematics, Nara University of Education, Takabatake-cho, Nara 630-8528, Japan
Journal of Lie Theory, Tome 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 $(K, C_0(X), \alpha)$.
1
Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, 72076 Tübingen, Germany
2
Dept. of Mathematics, Nara University of Education, Takabatake-cho, Nara 630-8528, Japan
Herbert Heyer; Satoshi 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/JOLT_2014_24_1_a7/
@article{JOLT_2014_24_1_a7,
author = {Herbert Heyer and Satoshi 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},
url = {http://geodesic.mathdoc.fr/item/JOLT_2014_24_1_a7/}
}
TY - JOUR
AU - Herbert Heyer
AU - Satoshi Kawakami
TI - An Imprimitivity Theorem for Representations of a Semi-Direct Product Hypergroup
JO - Journal of Lie Theory
PY - 2014
SP - 159
EP - 178
VL - 24
IS - 1
UR - http://geodesic.mathdoc.fr/item/JOLT_2014_24_1_a7/
ID - JOLT_2014_24_1_a7
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%T An Imprimitivity Theorem for Representations of a Semi-Direct Product Hypergroup
%J Journal of Lie Theory
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%P 159-178
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%N 1
%U http://geodesic.mathdoc.fr/item/JOLT_2014_24_1_a7/
%F JOLT_2014_24_1_a7
