The Coarse ℓp-Novikov Conjecture and Banach Spaces with Property (H)

Huan Wang; Qin Wang

doi:10.1007/s11401-024-0012-x

The Coarse ℓ^p-Novikov Conjecture and Banach Spaces with Property (H)

Huan Wang^*
, Qin Wang

^*Corresponding author for this work

School of Mathematical Sciences

East China Normal University

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

Abstract

In this paper, for 1 < p < ∞, the authors show that the coarse ℓ^p-Novikov conjecture holds for metric spaces with bounded geometry which are coarsely embeddable into a Banach space with Kasparov-Yu’s Property (H).

Original language	English
Pages (from-to)	193-220
Number of pages	28
Journal	Chinese Annals of Mathematics. Series B
Volume	45
Issue number	2
DOIs	https://doi.org/10.1007/s11401-024-0012-x
State	Published - Mar 2024

Keywords

19K56
46L80
Banach spaces with Property (H)
Coarse geometry
K-Theory
The coarse ℓ-Novikov conjecture

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10.1007/s11401-024-0012-x

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title = "The Coarse ℓp-Novikov Conjecture and Banach Spaces with Property (H)",

abstract = "In this paper, for 1 < p < ∞, the authors show that the coarse ℓp-Novikov conjecture holds for metric spaces with bounded geometry which are coarsely embeddable into a Banach space with Kasparov-Yu{\textquoteright}s Property (H).",

keywords = "19K56, 46L80, Banach spaces with Property (H), Coarse geometry, K-Theory, The coarse ℓ-Novikov conjecture",

author = "Huan Wang and Qin Wang",

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doi = "10.1007/s11401-024-0012-x",

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N2 - In this paper, for 1 < p < ∞, the authors show that the coarse ℓp-Novikov conjecture holds for metric spaces with bounded geometry which are coarsely embeddable into a Banach space with Kasparov-Yu’s Property (H).

AB - In this paper, for 1 < p < ∞, the authors show that the coarse ℓp-Novikov conjecture holds for metric spaces with bounded geometry which are coarsely embeddable into a Banach space with Kasparov-Yu’s Property (H).

KW - 19K56

KW - 46L80

KW - Banach spaces with Property (H)

KW - Coarse geometry

KW - K-Theory

KW - The coarse ℓ-Novikov conjecture

UR - https://www.scopus.com/pages/publications/85189371143

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M3 - 文章

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VL - 45

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JO - Chinese Annals of Mathematics. Series B

JF - Chinese Annals of Mathematics. Series B

IS - 2

ER -

The Coarse ℓ^p-Novikov Conjecture and Banach Spaces with Property (H)

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Keywords

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