Abstract
Let A i be a family of unital C*-algebras, respectively, of von Neumann algebras and φ:ℕ 0→ℂ. We show that if a Hankel matrix related to φ is trace-class, then there exists a unique completely bounded map M φ on the reduced free product of the A i, 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 groups.
| Original language | English |
|---|---|
| Journal | Journal of Functional Analysis |
| Volume | 263 |
| Issue number | 8 |
| Pages (from-to) | 2507-2528 |
| ISSN | 0022-1236 |
| Publication status | Published - 15 Oct 2012 |