Radial multipliers on reduced free products of operator algebras
Research output: Contribution to journal › Journal article › Research › peer-review
Let AiAi be a family of unital C¿C¿-algebras, respectively, of von Neumann algebras and ¿:N0¿C¿:N0¿C. We show that if a Hankel matrix related to ¿ is trace-class, then there exists a unique completely bounded map M¿M¿ on the reduced free product of the AiAi, which acts as a radial multiplier. Hereby we generalize a result of Wysoczanski for Herz–Schur multipliers on reduced group C¿C¿-algebras for free products of groups.
Original language | English |
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Journal | Journal of Functional Analysis |
Volume | 263 |
Issue number | 8 |
Pages (from-to) | 2507-2528 |
ISSN | 0022-1236 |
Publication status | Published - 2012 |
ID: 45181355