Geometrization of the Strong Novikov Conjecture for residually finite groups

Guihua Gong; Qin Wang; Guoliang Yu

doi:10.1515/CRELLE.2008.061

Geometrization of the Strong Novikov Conjecture for residually finite groups

Guihua Gong^*
, Qin Wang
, Guoliang Yu

^*Corresponding author for this work

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

44 Scopus citations

Abstract

In this paper, we prove that the Strong Novikov Conjecture for a residually finite group is essentially equivalent to the Coarse Geometric Novikov Conjecture for a certain metric space associated to the group. As an application, we obtain the Coarse Geometric Novikov Conjecture for a large class of sequences of expanders.

Original language	English
Pages (from-to)	159-189
Number of pages	31
Journal	Journal fur die Reine und Angewandte Mathematik
Issue number	621
DOIs	https://doi.org/10.1515/CRELLE.2008.061
State	Published - Aug 2008
Externally published	Yes

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10.1515/CRELLE.2008.061

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title = "Geometrization of the Strong Novikov Conjecture for residually finite groups",

abstract = "In this paper, we prove that the Strong Novikov Conjecture for a residually finite group is essentially equivalent to the Coarse Geometric Novikov Conjecture for a certain metric space associated to the group. As an application, we obtain the Coarse Geometric Novikov Conjecture for a large class of sequences of expanders.",

author = "Guihua Gong and Qin Wang and Guoliang Yu",

year = "2008",

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AU - Gong, Guihua

AU - Wang, Qin

AU - Yu, Guoliang

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N2 - In this paper, we prove that the Strong Novikov Conjecture for a residually finite group is essentially equivalent to the Coarse Geometric Novikov Conjecture for a certain metric space associated to the group. As an application, we obtain the Coarse Geometric Novikov Conjecture for a large class of sequences of expanders.

AB - In this paper, we prove that the Strong Novikov Conjecture for a residually finite group is essentially equivalent to the Coarse Geometric Novikov Conjecture for a certain metric space associated to the group. As an application, we obtain the Coarse Geometric Novikov Conjecture for a large class of sequences of expanders.

UR - https://www.scopus.com/pages/publications/46649097210

U2 - 10.1515/CRELLE.2008.061

DO - 10.1515/CRELLE.2008.061

M3 - 文章

AN - SCOPUS:46649097210

SN - 0075-4102

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EP - 189

JO - Journal fur die Reine und Angewandte Mathematik

JF - Journal fur die Reine und Angewandte Mathematik

IS - 621

ER -

Geometrization of the Strong Novikov Conjecture for residually finite groups

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