Mathematics – Operator Algebras
Scientific paper
2012-01-03
Mathematics
Operator Algebras
20 pages; corrected title
Scientific paper
Let A_i be a family of unital C*-algebras, respectively, of von Neumann algebras and phi: N_0 \to C. We show that if a Hankel matrix related to phi is trace-class, then there exists a unique completely bounded map M_phi on the reduced free product of the A_i, which acts as an radial multiplier. Hereby we generalize a result of Wysocza\'nski for Herz-Schur multipliers on reduced group C*-algebras for free products of groups.
Haagerup Uffe
Möller Sören
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