Radial multipliers on reduced free products of operator algebras

Publikation: Bidrag til tidsskriftTidsskriftartikelfagfællebedømt

  • Uffe Haagerup
  • Søren Møller
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.
OriginalsprogEngelsk
TidsskriftJournal of Functional Analysis
Vol/bind263
Udgave nummer8
Sider (fra-til)2507-2528
ISSN0022-1236
StatusUdgivet - 2012

ID: 45181355