Radial multipliers on reduced free products of operator algebras

Uffe Haagerup; Søren Møller

Radial multipliers on reduced free products of operator algebras

Uffe Haagerup, Søren Møller

Institut for Matematiske Fag

2 Citationer (Scopus)

Abstract

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.

Originalsprog	Engelsk
Tidsskrift	Journal of Functional Analysis
Vol/bind	263
Udgave nummer	8
Sider (fra-til)	2507-2528
ISSN	0022-1236
Status	Udgivet - 15 okt. 2012

Citationsformater

@article{a9a08e4e492146898ced3fdc79a7961f,

title = "Radial multipliers on reduced free products of operator algebras",

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 Wysocza{\'n}ski for Herz-Schur multipliers on reduced group C*-algebras for free products of groups.",

author = "Uffe Haagerup and S{\o}ren M{\o}ller",

year = "2012",

month = oct,

day = "15",

language = "English",

volume = "263",

pages = "2507--2528",

journal = "Journal of Functional Analysis",

issn = "0022-1236",

publisher = "Academic Press",

number = "8",

}

TY - JOUR

T1 - Radial multipliers on reduced free products of operator algebras

AU - Haagerup, Uffe

AU - Møller, Søren

PY - 2012/10/15

Y1 - 2012/10/15

N2 - 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.

AB - 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.

M3 - Journal article

SN - 0022-1236

VL - 263

SP - 2507

EP - 2528

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 8

ER -

Radial multipliers on reduced free products of operator algebras

Abstract

Fingeraftryk

Citationsformater