# A REPRESENTATION THEOREM FOR LOCALLY COMPACT QUANTUM GROUPS

@article{Junge2009ART,
title={A REPRESENTATION THEOREM FOR LOCALLY COMPACT QUANTUM GROUPS},
author={Marius Junge and Matthias Neufang and Zhong‐Jin Ruan},
journal={International Journal of Mathematics},
year={2009},
volume={20},
pages={377-400}
}
• Published 1 March 2009
• Mathematics
• International Journal of Mathematics
Recently, Neufang, Ruan and Spronk proved a completely isometric representation theorem for the measure algebra M(G) and for the completely bounded (Herz–Schur) multiplier algebra McbA(G) on $\mathcal{B}(L_{2}(G))$, where G is a locally compact group. We unify and generalize both results by extending the representation to arbitrary locally compact quantum groups 𝔾 = (M, Γ, φ, ψ). More precisely, we introduce the algebra $M_{\rm cb}^{r} (L_1(\mathbb{G}))$ of completely bounded right multipliers…
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In this paper, we consider several interesting multiplier algebras associated with a locally compact quantum group G . Firstly, we study the completely bounded right multiplier algebra Mcbr(L1(G)) .
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