Higher Index Theory
From MaRDI portal
Publication:5110816
DOI10.1017/9781108867351zbMath1471.19001OpenAlexW3123755175MaRDI QIDQ5110816
Publication date: 25 May 2020
Full work available at URL: https://doi.org/10.1017/9781108867351
(K)-theory and operator algebras (including cyclic theory) (46L80) (Semi-) Fredholm operators; index theories (47A53) Exotic index theories on manifolds (58J22) Research exposition (monographs, survey articles) pertaining to global analysis (58-02) Index theory (19K56) Research exposition (monographs, survey articles) pertaining to (K)-theory (19-02)
Related Items (37)
Uniformly bounded fibred coarse embeddability and uniformly bounded a-T-menability ⋮ The Novikov conjecture and extensions of coarsely embeddable groups ⋮ The coarse Novikov conjecture for coarse fibrations over Banach spaces with property (H) ⋮ Equivariant Callias index theory via coarse geometry ⋮ General uniform Roe algebra rigidity ⋮ The UCT problem for nuclear \(C^\ast\)-algebras ⋮ Equivariant coarse (co-)homology theories ⋮ On the quotients of coarse structures and Roe algebras ⋮ Higher \(\rho\) invariant is an obstruction to the inverse being local ⋮ Functoriality for higher rho invariants of elliptic operators ⋮ The coarse Baum-Connes conjecture for certain relative expanders ⋮ Embeddings of von Neumann algebras into uniform Roe algebras and quasi-local algebras ⋮ A Markovian and Roe-algebraic approach to asymptotic expansion in measure ⋮ A quantitative relative index theorem and Gromov's conjectures on positive scalar curvature (with an appendix by Jinmin Wang and Zhizhang Xie) ⋮ \(K\)-theory of relative group \(C^*\)-algebras and the relative Novikov conjecture ⋮ The twisted coarse Baum-Connes conjecture with coefficients in coarsely proper algebras ⋮ Relative equivariant coarse index and relative \(L^2\)-index ⋮ 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 Baum-Connes conjecture for metric spaces with proper group actions ⋮ Higher Kazhdan projections, \(\ell_2\)-Betti numbers and Baum-Connes conjectures ⋮ The equivariant coarse Novikov conjecture and coarse embedding ⋮ Bott periodicity and almost commuting matrices ⋮ Higher invariants in noncommutative geometry ⋮ A spectral triple for a solenoid based on the Sierpinski gasket ⋮ Secondary cup and cap products in coarse geometry ⋮ Metrics with positive scalar curvature at infinity and localization algebra ⋮ On localized signature and higher rho invariant of fibered manifolds ⋮ The coarse geometric \(\ell^p\)-Novikov conjecture for subspaces of nonpositively curved manifolds ⋮ Equivariant higher-index problems for proper actions and nonpositively curved manifolds ⋮ Higher localised \(\hat{A}\)-genera for proper actions and applications ⋮ Delocalized spectra of Landau operators on helical surfaces ⋮ Band width estimates via the Dirac operator ⋮ Slant products on the Higson-Roe exact sequence ⋮ The bulk–dislocation correspondence for weak topological insulators on screw–dislocated lattices
This page was built for publication: Higher Index Theory
