June 2020 Equivariant higher-index problems for proper actions and nonpositively curved manifolds
Xiaoman Chen, Benyin Fu, Qin Wang, Dapeng Zhou
Kyoto J. Math. 60(2): 575-591 (June 2020). DOI: 10.1215/21562261-2019-0044

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.

Citation

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Xiaoman Chen. Benyin Fu. Qin Wang. Dapeng Zhou. "Equivariant higher-index problems for proper actions and nonpositively curved manifolds." Kyoto J. Math. 60 (2) 575 - 591, June 2020. https://doi.org/10.1215/21562261-2019-0044

Information

Received: 5 September 2017; Revised: 11 January 2018; Accepted: 15 January 2018; Published: June 2020
First available in Project Euclid: 29 February 2020

zbMATH: 07223246
MathSciNet: MR4094745
Digital Object Identifier: 10.1215/21562261-2019-0044

Subjects:
Primary: 58B34
Secondary: 46L80

Keywords: equivariant higher-index map , equivariant Roe algebras , proper group action

Rights: Copyright © 2020 Kyoto University

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Vol.60 • No. 2 • June 2020
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