Operator norm localization for linear groups and its application to K-theory

Erik Guentner; Romain Tessera; Guoliang Yu

doi:10.1016/j.aim.2010.10.022

Operator norm localization for linear groups and its application to K-theory

Erik Guentner
, Romain Tessera
, Guoliang Yu

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We prove the operator norm localization property for linear groups. As an application we prove the coarse Novikov conjecture for box spaces of a linear group.

langue originale	Anglais
Pages (de - à)	3495-3510
Nombre de pages	16
journal	Advances in Mathematics
Volume	226
Numéro de publication	4
Les DOIs	https://doi.org/10.1016/j.aim.2010.10.022
état	Publié - 1 mars 2011
Modification externe	Oui

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10.1016/j.aim.2010.10.022

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title = "Operator norm localization for linear groups and its application to K-theory",

abstract = "We prove the operator norm localization property for linear groups. As an application we prove the coarse Novikov conjecture for box spaces of a linear group.",

keywords = "Box space, Coarse Novikov conjecture, Expander, Linear group, Operator norm localization",

author = "Erik Guentner and Romain Tessera and Guoliang Yu",

year = "2011",

month = mar,

day = "1",

doi = "10.1016/j.aim.2010.10.022",

language = "English",

volume = "226",

pages = "3495--3510",

journal = "Advances in Mathematics",

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TY - JOUR

T1 - Operator norm localization for linear groups and its application to K-theory

AU - Guentner, Erik

AU - Tessera, Romain

AU - Yu, Guoliang

PY - 2011/3/1

Y1 - 2011/3/1

N2 - We prove the operator norm localization property for linear groups. As an application we prove the coarse Novikov conjecture for box spaces of a linear group.

AB - We prove the operator norm localization property for linear groups. As an application we prove the coarse Novikov conjecture for box spaces of a linear group.

KW - Box space

KW - Coarse Novikov conjecture

KW - Expander

KW - Linear group

KW - Operator norm localization

UR - https://www.scopus.com/pages/publications/78651507920

U2 - 10.1016/j.aim.2010.10.022

DO - 10.1016/j.aim.2010.10.022

M3 - Article

AN - SCOPUS:78651507920

SN - 0001-8708

VL - 226

SP - 3495

EP - 3510

JO - Advances in Mathematics

JF - Advances in Mathematics

IS - 4

ER -

Operator norm localization for linear groups and its application to K-theory

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