Ghostbusting and property A

DOI10.1016/j.jfa.2013.07.004zbMath1308.46077arXiv1303.6532OpenAlexW2963655521MaRDI QIDQ2452464

Rufus Willett, John Roe

Publication date: 3 June 2014

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

Full work available at URL: https://arxiv.org/abs/1303.6532

zbMATH Keywords

coarse geometryghostsproperty Aexact group

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Noncommutative topology (46L85) (K)-theory and operator algebras (including cyclic theory) (46L80)

Related Items (27)

On the inverse semigroup of bimodules over a \(C^\ast\)-algebra ⋮ General uniform Roe algebra rigidity ⋮ On Banach algebras of band-dominated operators and their order structure ⋮ Complete descriptions of intermediate operator algebras by intermediate extensions of dynamical systems ⋮ Embeddings of von Neumann algebras into uniform Roe algebras and quasi-local algebras ⋮ Operator norm localization property for equi-approximable families of projections ⋮ Almost quasi-isometries and more non-C*-exact groups ⋮ A twisted version of controlled \(K\)-theory ⋮ Low‐dimensional properties of uniform Roe algebras ⋮ Coarse quotients of metric spaces and embeddings of uniform Roe algebras ⋮ The Fubini product and its applications ⋮ Fibred coarse embeddings, a-T-menability and the coarse analogue of the Novikov conjecture ⋮ On the uniform Roe algebra as a Banach algebra and embeddings of ℓp uniform Roe algebras ⋮ Finite‐dimensional approximation properties for uniform Roe algebras ⋮ On the rigidity of uniform Roe algebras over uniformly locally finite coarse spaces ⋮ On characterizations of amenable \(\mathrm{C}^*\)-dynamical systems and new examples ⋮ Quasi-local algebras and asymptotic expanders ⋮ Exactness of locally compact groups ⋮ Kazhdan projections, random walks and ergodic theorems ⋮ Cartan subalgebras in uniform Roe algebras ⋮ Ideal structure and pure infiniteness of ample groupoid -algebras ⋮ Uniform Roe coronas ⋮ The maximal injective crossed product ⋮ A metric approach to limit operators ⋮ On the \(C^{\ast}\)-algebra of matrix-finite bounded operators ⋮ Embeddings of uniform Roe algebras ⋮ Uniform Roe algebras of uniformly locally finite metric spaces are rigid

Cites Work

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• Uniform local amenability
• Coarse non-amenability and coarse embeddings
• Higher index theory for certain expanders and Gromov monster groups. I
• Operator norm localization property of metric spaces under finite decomposition complexity
• Metric sparsification and operator norm localization
• Band-dominated Fredholm operators on discrete groups
• The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space
• A generalization of expander graphs and local reflexivity of uniform Roe algebras
• Property A and the operator norm localization property for discrete metric spaces
• Amenable actions and exactness for discrete groups
• Uniform embeddability of relatively hyperbolic groups
• Positive Curvature, Partial Vanishing Theorems and Coarse Indices
• Exactness and the Novikov conjecture

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