Fibred coarse embeddings, a-T-menability and the coarse analogue of the Novikov conjecture

DOI10.1016/j.jfa.2014.09.012zbMath1298.22004arXiv1304.3348OpenAlexW2964169354MaRDI QIDQ461710

Martin Finn-Sell

Publication date: 13 October 2014

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

Full work available at URL: https://arxiv.org/abs/1304.3348

zbMATH Keywords

coarse Baum-Connes conjecturefibred coarse embeddingsnegative type functionstopological groupoids

Mathematics Subject Classification ID

Geometric group theory (20F65) (K)-theory and operator algebras (including cyclic theory) (46L80) Topological groupoids (including differentiable and Lie groupoids) (22A22) Geometric embeddings of metric spaces (30L05)

Related Items (17)

Uniformly bounded fibred coarse embeddability and uniformly bounded a-T-menability ⋮ On the Baum-Connes conjecture for Gromov monster groups ⋮ Controlled \(K\)-theory for groupoids \& applications to coarse geometry ⋮ Coarse Baum-Connes conjecture and rigidity for Roe algebras ⋮ A Bott periodicity theorem for \(\ell^p\)-spaces and the coarse Novikov conjecture at infinity ⋮ On the rigidity of uniform Roe algebras over uniformly locally finite coarse spaces ⋮ Sofic boundaries of groups and coarse geometry of sofic approximations ⋮ Quasi-local algebras and asymptotic expanders ⋮ Geometric property (T) ⋮ Cartan subalgebras in uniform Roe algebras ⋮ Persistence approximation property for maximal Roe algebras ⋮ On the structure of asymptotic expanders ⋮ Novikov’s Conjecture ⋮ Embeddings of uniform Roe algebras ⋮ Going-down functors and the Künneth formula for crossed products by étale groupoids ⋮ Group approximation in Cayley topology and coarse geometry. II: Fibred coarse embeddings ⋮ Relative expanders

Cites Work

• Coarse non-amenability and coarse embeddings
• The coarse Baum-Connes conjecture and groupoids. II
• Box spaces, group extensions and coarse embeddings into Hilbert space
• Groupoid cocycles and derivations
• Higher index theory for certain expanders and Gromov monster groups. I
• Higher index theory for certain expanders and Gromov monster groups. II
• Discrete groups, expanding graphs and invariant measures. With an appendix by Jonathan D. Rogawski
• K-theory for the maximal Roe algebra of certain expanders
• The Baum-Connes conjecture
• Equivariant Kasparov theory and groupoids. I
• The Baum-Connes conjecture for amenable foliations
• Bivariant \(K\)-theory and the Novikov conjecture
• The coarse Baum-Connes conjecture and groupoids
• Counterexamples to the Baum-Connes conjecture
• A notion of geometric complexity and its application to topological rigidity
• The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space
• 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
• Ghostbusting and property A
• Characterization of the Haagerup property by fibred coarse embedding into Hilbert space
• New C*-completions of discrete groups and related spaces
• Operator 𝐾-theory for groups which act properly and isometrically on Hilbert space
• Uniform embeddability of relatively hyperbolic groups
• Metric Spaces and Positive Definite Functions
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