The coarse Novikov conjecture and Banach spaces with Property (H)

Xiaoman Chen; Qin Wang; Guoliang Yu

doi:10.1016/j.jfa.2015.02.001

The coarse Novikov conjecture and Banach spaces with Property (H)

Xiaoman Chen, Qin Wang, Guoliang Yu

School of Mathematical Sciences

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

15 Scopus citations

Abstract

In this paper, we prove the coarse Novikov conjecture for metric spaces with bounded geometry which are coarsely embeddable into Banach spaces with a geometric condition, called Property (H), introduced by G. Kasparov and G. Yu.

Original language	English
Pages (from-to)	2754-2786
Number of pages	33
Journal	Journal of Functional Analysis
Volume	268
Issue number	9
DOIs	https://doi.org/10.1016/j.jfa.2015.02.001
State	Published - 2015

Keywords

Geometry of Banach spaces
Higher index theory
Noncommutative geometry
The coarse Novikov conjecture

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10.1016/j.jfa.2015.02.001

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title = "The coarse Novikov conjecture and Banach spaces with Property (H)",

abstract = "In this paper, we prove the coarse Novikov conjecture for metric spaces with bounded geometry which are coarsely embeddable into Banach spaces with a geometric condition, called Property (H), introduced by G. Kasparov and G. Yu.",

keywords = "Geometry of Banach spaces, Higher index theory, Noncommutative geometry, The coarse Novikov conjecture",

author = "Xiaoman Chen and Qin Wang and Guoliang Yu",

note = "Publisher Copyright: {\textcopyright} 2015 Elsevier Inc.",

year = "2015",

doi = "10.1016/j.jfa.2015.02.001",

language = "英语",

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T1 - The coarse Novikov conjecture and Banach spaces with Property (H)

AU - Chen, Xiaoman

AU - Wang, Qin

AU - Yu, Guoliang

PY - 2015

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N2 - In this paper, we prove the coarse Novikov conjecture for metric spaces with bounded geometry which are coarsely embeddable into Banach spaces with a geometric condition, called Property (H), introduced by G. Kasparov and G. Yu.

AB - In this paper, we prove the coarse Novikov conjecture for metric spaces with bounded geometry which are coarsely embeddable into Banach spaces with a geometric condition, called Property (H), introduced by G. Kasparov and G. Yu.

KW - Geometry of Banach spaces

KW - Higher index theory

KW - Noncommutative geometry

KW - The coarse Novikov conjecture

UR - https://www.scopus.com/pages/publications/84932192363

U2 - 10.1016/j.jfa.2015.02.001

DO - 10.1016/j.jfa.2015.02.001

M3 - 文章

AN - SCOPUS:84932192363

SN - 0022-1236

VL - 268

SP - 2754

EP - 2786

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 9

ER -

The coarse Novikov conjecture and Banach spaces with Property (H)

Abstract

Keywords

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