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The Fourier Algebra of a Rigid $C^*$-Tensor Category

The Fourier Algebra of a Rigid $C^*$-Tensor Category

Completely positive and completely bounded mutlipliers on rigid C^* -tensor categories were introduced by Popa and Vaes. Using these notions, we define and study the Fourierā€“Stieltjes algebra, the Fourier algebra and the algebra of completely bounded multipliers of a rigid C^* -tensor category. The rich structure that these algebras have ā€¦