A Bott periodicity theorem for \(\ell^p\)-spaces and the coarse Novikov conjecture at infinity
From MaRDI portal
Publication:6184589
DOI10.1016/j.jfa.2023.110215arXiv2207.04193MaRDI QIDQ6184589
Liang Guo, Zheng Luo, Qin Wang, Yazhou Zhang
Publication date: 25 January 2024
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.04193
(K)-theory and operator algebras (including cyclic theory) (46L80) Differential geometry (53-XX) Lipschitz and coarse geometry of metric spaces (51F30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fibred coarse embeddings, a-T-menability and the coarse analogue of the Novikov conjecture
- Higher index theory for certain expanders and Gromov monster groups. I
- Higher index theory for certain expanders and Gromov monster groups. II
- The Novikov conjecture and geometry of Banach spaces
- K-theory for the maximal Roe algebra of certain expanders
- A Bott periodicity theorem for infinite dimensional Euclidean space
- The distortion problem
- Localization algebras and the coarse Baum-Connes conjecture
- The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space
- The Novikov conjecture, the group of volume preserving diffeomorphisms and Hilbert-Hadamard spaces
- The coarse Novikov conjecture and Banach spaces with property (H)
- Warped cones and property A
- The maximal coarse Baum-Connes conjecture for spaces which admit a fibred coarse embedding into Hilbert space
- Hyperbolic groups admit proper affine isometric actions on \(l^p\)-spaces
- Sphere equivalence, Property H, and Banach expanders
- Characterization of the Haagerup property by fibred coarse embedding into Hilbert space
- A coarse Mayer–Vietoris principle
- Geometrization of the Strong Novikov Conjecture for residually finite groups
- On the localization algebra of Guoliang Yu
- Warped cones over profinite completions
- Maximal and reduced Roe algebras of coarsely embeddable spaces
- Higher Index Theory
- Coarse cohomology and index theory on complete Riemannian manifolds
- Linearization of locally compact transformation groups in Hilbert space
- Straightening warped cones
This page was built for publication: A Bott periodicity theorem for \(\ell^p\)-spaces and the coarse Novikov conjecture at infinity