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arXiv · 1201.0609

Radial multipliers on reduced free products of operator algebras

Uffe Haagerup·Sören Möller
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Abstract

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 Wysoczański for Herz-Schur multipliers on reduced group C*-algebras for free products of groups.

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Uffe Haagerup, Sören Möller. 2012-01-04. Radial multipliers on reduced free products of operator algebras. https://doi.org/10.1016/j.jfa.2012.08.008

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