Ideal structure of uniform Roe algebras of coarse spaces

DOI10.1016/j.jfa.2003.11.015zbMath1066.46056OpenAlexW2075031821MaRDI QIDQ1888797

Qin Wang, Xiaoman Chen

Publication date: 29 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2003.11.015

zbMATH Keywords

idealcoarse geometryuniform Roe algebracontrolled truncation

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80)

Related Items (16)

On the quotients of coarse structures and Roe algebras ⋮ Amenability and uniform Roe algebras ⋮ On the structure of the essential spectrum of elliptic operators on metric spaces ⋮ Non-commutative Fejér theorems ⋮ Low‐dimensional properties of uniform Roe algebras ⋮ On rigidity of Roe algebras ⋮ On the rigidity of uniform Roe algebras over uniformly locally finite coarse spaces ⋮ Higher index theory for certain expanders and Gromov monster groups. I ⋮ Truncation approximations and spectral invariant subalgebras in uniform Roe algebras of discrete groups ⋮ Quasi-local algebras and asymptotic expanders ⋮ Kazhdan projections, random walks and ergodic theorems ⋮ Ideal structure and pure infiniteness of ample groupoid -algebras ⋮ Ideals in the Roe algebras of discrete metric spaces with coefficients in \(\mathcal B(H)\) ⋮ Uniform Roe algebras of uniformly locally finite metric spaces are rigid ⋮ Ideals of band-dominated operators ⋮ Non-K-exact uniform Roe C*-algebras

Cites Work

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• The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space
• Remarks on Yu’s ‘property A’ for discrete metric spaces and groups
• Notes on Ideals of Roe Algebras
• Localization Algebras and Duality
• Amenable actions and exactness for discrete groups
• C ∗ -Algebras of Multivariable Wiener-Hopf Operators
• Amenable group actions and the Novikov conjecture
• Exactness and the Novikov conjecture

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