Radial multipliers on reduced free products of operator algebras
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Radial multipliers on reduced free products of operator algebras. / Haagerup, Uffe; Møller, Søren.
I: Journal of Functional Analysis, Bind 263, Nr. 8, 2012, s. 2507-2528.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Radial multipliers on reduced free products of operator algebras
AU - Haagerup, Uffe
AU - Møller, Søren
PY - 2012
Y1 - 2012
N2 - 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.
AB - 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.
M3 - Journal article
VL - 263
SP - 2507
EP - 2528
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
SN - 0022-1236
IS - 8
ER -
ID: 45181355