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Let Ai be a family of unital C⁎-algebras, respectively, of von Neumann algebras and ϕ:N0→C. We show that if a Hankel matrix related to ϕ is trace-class, then there exists a unique completely bounded map Mϕ on the reduced free product of the Ai, which acts as a radial multiplier. Hereby we generalize a result of Wysoczański for Herz–Schur multipliers on reduced group C⁎-algebras for free products of...
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