Abstract
Multipliers, in particular completely bounded multipliers, of Fourier algebras have played a very important role in the study of harmonic analysis and of group von Neumann algebras and C*-algebras. In this paper, we plan to extend this notion to a more general context, i.e. we are going to study the completely bounded multipliers of Kac algebras. We will introduce an appropriate definition for completely bounded multipliers of Kac algebras, study some of basic properties and their connection with the strong Voiculescu amenability of Kac algebras. Operator space theory will play a very important role throughout this paper.
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