A Lichnerowicz vanishing theorem for the maximal Roe algebra

DOI10.1007/s00208-021-02333-0OpenAlexW4221052596MaRDI QIDQ2697573

Zhizhang Xie, Hao Guo, Guo-Liang Yu

Publication date: 12 April 2023

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.12299

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Global Riemannian geometry, including pinching (53C20) Noncommutative geometry (à la Connes) (58B34)

Related Items (2)

Functoriality for higher rho invariants of elliptic operators ⋮ Positive scalar curvature and a new index theory for noncompact manifolds

Cites Work

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• The maximal coarse Baum-Connes conjecture for spaces which admit a fibred coarse embedding into Hilbert space
• A short proof of an index theorem
• Riemannian Geometry
• Geometrization of the Strong Novikov Conjecture for residually finite groups
• On an Index Theorem of Chang, Weinberger and Yu

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