Généralisation d'un théorème de Haagerup

Ferdaous Kellil; Guy Rousseau

Studia Mathematica (2005)

  • Volume: 168, Issue: 3, page 217-227
  • ISSN: 0039-3223

Abstract

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Let G be a group of automorphisms of a tree X (with set of vertices S) and H a kernel on S × S invariant under the action of G. We want to give an estimate of the l r -operator norm (1 ≤ r ≤ 2) of the operator associated to H in terms of a norm for H. This was obtained by U. Haagerup when G is the free group acting simply transitively on a homogeneous tree. Our result is valid when X is a locally finite tree and one of the orbits of G is the set of vertices at even distance from a given vertex; a technical hypothesis, always true when G is discrete, is also assumed. As an application we prove the invertibility of an l r -operator on S.

How to cite

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Ferdaous Kellil, and Guy Rousseau. "Généralisation d'un théorème de Haagerup." Studia Mathematica 168.3 (2005): 217-227. <http://eudml.org/doc/285172>.

@article{FerdaousKellil2005,
author = {Ferdaous Kellil, Guy Rousseau},
journal = {Studia Mathematica},
keywords = {trees; group; operator},
language = {fre},
number = {3},
pages = {217-227},
title = {Généralisation d'un théorème de Haagerup},
url = {http://eudml.org/doc/285172},
volume = {168},
year = {2005},
}

TY - JOUR
AU - Ferdaous Kellil
AU - Guy Rousseau
TI - Généralisation d'un théorème de Haagerup
JO - Studia Mathematica
PY - 2005
VL - 168
IS - 3
SP - 217
EP - 227
LA - fre
KW - trees; group; operator
UR - http://eudml.org/doc/285172
ER -

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