Coarse Baum-Connes conjecture and rigidity for Roe algebras

DOI10.1016/j.jfa.2020.108728zbMath1484.46078arXiv1907.10237OpenAlexW3047738076MaRDI QIDQ2197816

Yeong Chyuan Chung, Kang Li, Bruno de Mendonça Braga

Publication date: 1 September 2020

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.10237

zbMATH Keywords

Baum-Connes conjecturelarge scale geometryRoe algebras

Mathematics Subject Classification ID

Geometric group theory (20F65) (K)-theory and operator algebras (including cyclic theory) (46L80) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Kasparov theory ((KK)-theory) (19K35) Index theory (19K56) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85) Lipschitz and coarse geometry of metric spaces (51F30)

Related Items (7)

General uniform Roe algebra rigidity ⋮ On Banach algebras of band-dominated operators and their order structure ⋮ The coarse Baum-Connes conjecture for certain relative expanders ⋮ Embeddings of von Neumann algebras into uniform Roe algebras and quasi-local algebras ⋮ \(\mathrm{C}^\ast\)-algebras. Abstracts from the workshop held August 7--13, 2022 ⋮ Coarse quotients of metric spaces and embeddings of uniform Roe algebras ⋮ On the rigidity of uniform Roe algebras over uniformly locally finite coarse spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The coarse Baum-Connes conjecture and groupoids. II
• Fibred coarse embeddings, a-T-menability and the coarse analogue of the Novikov conjecture
• The Novikov conjecture and geometry of Banach spaces
• Embeddings of uniform Roe algebras
• Stable isomorphism and strong Morita equivalence of \(C^*\)-algebras
• The Novikov conjecture for hyperbolic foliations
• The Baum-Connes conjecture for amenable foliations
• The coarse Baum-Connes conjecture and groupoids
• On Banach spaces with Kasparov and Yu's property (H)
• Spaces of graphs, boundary groupoids and the coarse Baum-Connes conjecture
• The maximal coarse Baum-Connes conjecture for spaces which admit a fibred coarse embedding into Hilbert space
• On rigidity of Roe algebras
• Small cancellation labellings of some infinite graphs and applications
• Baum-Connes conjecture and extensions
• Reconstructing a totally disconnected groupoid from its ample semigroup
• Going-down functors and the Künneth formula for crossed products by étale groupoids
• Property A, partial translation structures, and uniform embeddings in groups
• Permanence properties of the Baum-Connes conjecture
• \(E\)-theory and \(KK\)-theory for groups which act properly and isometrically on Hilbert space

This page was built for publication: Coarse Baum-Connes conjecture and rigidity for Roe algebras