Non-commutative Fejér theorems

DOI10.1007/s00020-012-2005-5zbMath1282.47019OpenAlexW1997378084MaRDI QIDQ1946561

Benyin Fu, Xiaoman Chen

Publication date: 15 April 2013

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-012-2005-5

zbMATH Keywords

truncationrapid decayuniform Roe algebras\(G\)-invariant approximation property

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Linear operator approximation theory (47A58) Noncommutative geometry (à la Connes) (58B34)

Related Items (3)

Approximation properties of fine hyperbolic graphs ⋮ Truncation approximations and spectral invariant subalgebras in uniform Roe algebras of discrete groups ⋮ Controlled topological phases and bulk-edge correspondence

Cites Work

• Taming 3-manifolds using scalar curvature
• Weak amenability of hyperbolic groups
• An example of a non nuclear C*-algebra, which has the metric approximation property
• Bivariant \(K\)-theory for Banach algebras and the Baum-Connes conjecture
• Cyclic cohomology, the Novikov conjecture and hyperbolic groups
• Spectral invariant subalgebras of reduced crossed product \(C^*\)-algebras
• Ideal structure of uniform Roe algebras of coarse spaces
• 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
• On the invariant translation approximation property for discrete groups
• Rapidly Decreasing Functions in Reduced C ∗ -Algebras of Groups
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