Abstract:We study the dual relationship between quantum group convolution maps L 1 (G) → L ∞ (G) and completely bounded multipliers of G. For a large class of locally compact quantum groups G we completely isomorphically identify the mapping ideal of row Hilbert space factorizable convolution maps with M cb (L 1 ( G)), yielding a quantum Gilbert representation for completely bounded multipliers. We also identify the mapping ideals of completely integral and completely nuclear convolution maps, the latter case coincidin… Show more
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