Bordism, rho-invariants and the Baum-Connes conjecture
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Publication:950644
DOI10.4171/JNCG/2zbMath1158.58012arXivmath/0407388WikidataQ123222095 ScholiaQ123222095MaRDI QIDQ950644
Publication date: 3 November 2008
Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0407388
Related Items (29)
Real versus complex K-theory using Kasparov's bivariant KK-theory ⋮ A note on the higher Atiyah-Patodi-Singer index theorem on Galois coverings ⋮ Higher genera for proper actions of Lie groups. II: The case of manifolds with boundary ⋮ Delocalized Eta Invariants, Algebraicity, and K-Theory of Group C*-Algebras ⋮ Signatures of Witt spaces with boundary ⋮ Realizing the analytic surgery group of Higson and Roe geometrically. II: Relative \(\eta\)-invariants ⋮ Realizing the analytic surgery group of Higson and Roe geometrically. III: Higher invariants ⋮ Rho-classes, index theory and Stolz’ positive scalar curvature sequence ⋮ Eta cocycles, relative pairings and the Godbillon-Vey index theorem ⋮ Spectral sections, twisted rho invariants and positive scalar curvature ⋮ Relative torsion and bordism classes of positive scalar curvature metrics on manifolds with boundary ⋮ Positive scalar curvature metrics via end-periodic manifolds ⋮ Codimension 2 transfer of higher index invariants ⋮ Spectral 𝜁-invariants lifted to coverings ⋮ Mapping the surgery exact sequence for topological manifolds to analysis ⋮ Leafwise homotopies and Hilbert-Poincaré complexes. I: Regular HP-complexes and leafwise pull-back maps ⋮ The relative \(L^2\) index theorem for Galois coverings ⋮ Positive scalar curvature on spin pseudomanifolds: the fundamental group and secondary invariants ⋮ The Higson-Roe exact sequence and \(\ell^2\) eta invariants ⋮ Realizing the analytic surgery group of Higson and Roe geometrically. I: The geometric model ⋮ Elliptic operators and higher signatures. ⋮ New holomorphically closed subalgebras of \(C^*\)-algebras of hyperbolic groups ⋮ Homotopy groups of the moduli space of metrics of positive scalar curvature ⋮ Additivity of higher rho invariant for the topological structure group from a differential point of view ⋮ A Baum-Connes conjecture for singular foliations ⋮ Analytic and topological index maps with values in the \(K\)-theory of mapping cones ⋮ Two-cocycle twists and Atiyah–Patodi–Singer index theory ⋮ Eta and rho invariants on manifolds with edges ⋮ Uniform homotopy invariance of Roe index of the signature operator
Cites Work
- Analytic and Reidemeister torsion for representations in finite type Hilbert modules
- On conjectures of Mathai and Borel
- The eta invariant and metrics of positive scalar curvature
- Spectral asymmetry and Riemannian Geometry. I
- Spectral asymmetry and Riemannian geometry. II
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