Equivariant higher-index problems for proper actions and nonpositively curved manifolds

Xiaoman Chen; Benyin Fu; Qin Wang; Dapeng Zhou

doi:10.1215/21562261-2019-0044

Equivariant higher-index problems for proper actions and nonpositively curved manifolds

Xiaoman Chen
, Benyin Fu
, Qin Wang
, Dapeng Zhou

School of Mathematical Sciences

Fudan University
Shanghai Lixin University of Accounting and Finance
East China Normal University

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

1 Scopus citations

Abstract

We prove that the equivariant higher-index map is injective for a bounded geometry metric space with a proper and isometric group action which can be equivariantly embedded into a simply connected, complete, and nonpositively curved Riemannian manifold with a proper and isometric group action.

Original language	English
Pages (from-to)	575-591
Number of pages	17
Journal	Kyoto Journal of Mathematics
Volume	60
Issue number	2
DOIs	https://doi.org/10.1215/21562261-2019-0044
State	Published - Jun 2020

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title = "Equivariant higher-index problems for proper actions and nonpositively curved manifolds",

abstract = "We prove that the equivariant higher-index map is injective for a bounded geometry metric space with a proper and isometric group action which can be equivariantly embedded into a simply connected, complete, and nonpositively curved Riemannian manifold with a proper and isometric group action.",

author = "Xiaoman Chen and Benyin Fu and Qin Wang and Dapeng Zhou",

note = "Publisher Copyright: {\textcopyright} 2020 by Kyoto University.",

year = "2020",

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doi = "10.1215/21562261-2019-0044",

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AU - Chen, Xiaoman

AU - Fu, Benyin

AU - Wang, Qin

AU - Zhou, Dapeng

PY - 2020/6

Y1 - 2020/6

N2 - We prove that the equivariant higher-index map is injective for a bounded geometry metric space with a proper and isometric group action which can be equivariantly embedded into a simply connected, complete, and nonpositively curved Riemannian manifold with a proper and isometric group action.

AB - We prove that the equivariant higher-index map is injective for a bounded geometry metric space with a proper and isometric group action which can be equivariantly embedded into a simply connected, complete, and nonpositively curved Riemannian manifold with a proper and isometric group action.

UR - https://www.scopus.com/pages/publications/85090901861

U2 - 10.1215/21562261-2019-0044

DO - 10.1215/21562261-2019-0044

M3 - 文章

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SN - 2156-2261

VL - 60

SP - 575

EP - 591

JO - Kyoto Journal of Mathematics

JF - Kyoto Journal of Mathematics

IS - 2

ER -

Equivariant higher-index problems for proper actions and nonpositively curved manifolds

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