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

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	3495-3510
Number of pages	16
Journal	Advances in Mathematics
Volume	226
Issue number	4
DOIs	https://doi.org/10.1016/j.aim.2010.10.022
Publication status	Published - 1 Mar 2011
Externally published	Yes

Keywords

Box space
Coarse Novikov conjecture
Expander
Linear group
Operator norm localization

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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,

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

language = "English",

volume = "226",

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journal = "Advances in Mathematics",

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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

Abstract

Keywords

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