On the localization algebra of Guoliang Yu

DOI10.1515/FORUM.2010.036zbMath1204.19005OpenAlexW1972048290MaRDI QIDQ3580704

John Roe, Yu Qiao

Publication date: 13 August 2010

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/forum.2010.036

zbMATH Keywords

\(C^*\)-algebraK-theoryassembly maplocal index maplocalization algebra

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Index theory (19K56)

Related Items (23)

The Novikov conjecture and extensions of coarsely embeddable groups ⋮ Equivariant coarse (co-)homology theories ⋮ Expanders are counterexamples to the \(\ell^p\) coarse Baum-Connes conjecture ⋮ The twisted coarse Baum-Connes conjecture with coefficients in coarsely proper algebras ⋮ Decay of scalar curvature on uniformly contractible manifolds with finite asymptotic dimension ⋮ A Bott periodicity theorem for \(\ell^p\)-spaces and the coarse Novikov conjecture at infinity ⋮ The strongly quasi-local coarse Novikov conjecture and Banach spaces with Property (H) ⋮ Localization \(C^*\)-algebras and index pairing ⋮ The equivariant coarse Novikov conjecture and coarse embedding ⋮ Bott periodicity and almost commuting matrices ⋮ Higher invariants in noncommutative geometry ⋮ Dynamical complexity and K-theory of Lp operator crossed products ⋮ Localization \(C^\ast\)-algebras and \(K\)-theoretic duality ⋮ Positive scalar curvature, higher rho invariants and localization algebras ⋮ Secondary cup and cap products in coarse geometry ⋮ Coarse indices of twisted operators ⋮ Positive scalar curvature and a new index theory for noncompact manifolds ⋮ Positive scalar curvature and product formulas for secondary index invariants ⋮ The adiabatic groupoid and the Higson-Roe exact sequence ⋮ \(L^p\) coarse Baum-Connes conjecture and \(K\)-theory for \(L^p\) Roe algebras ⋮ The coarse geometric \(\ell^p\)-Novikov conjecture for subspaces of nonpositively curved manifolds ⋮ A variant of Roe algebras for spaces with cylindrical ends with applications in relative higher index theory ⋮ Slant products on the Higson-Roe exact sequence

Cites Work

• Localization algebras and the coarse Baum-Connes conjecture

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