Homotopy invariance of higher signatures and $3$-manifold groups
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Publication:3544879
DOI10.24033/bsmf.2547zbMath1179.19004arXivmath/0412363OpenAlexW1901075070MaRDI QIDQ3544879
Hervé Oyono-Oyono, Wolfgang Pitsch, Michel Matthey
Publication date: 8 December 2008
Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0412363
(K)-theory and operator algebras (including cyclic theory) (46L80) Characteristic classes and numbers in differential topology (57R20) General geometric structures on low-dimensional manifolds (57M50) Kasparov theory ((KK)-theory) (19K35)
Related Items (4)
3-manifold group and finite decomposition complexity ⋮ Taming 3-manifolds using scalar curvature ⋮ On quantitative operator \(K\)-theory ⋮ On the equivariant \(K\)- and \(KO\)-homology of some special linear groups
Cites Work
- Equivariant KK-theory and the Novikov conjecture
- Homotopy equivalences of 3-manifolds with boundaries
- \(K\)-theory for \(C^*\)-algebras of one-relator groups
- The Baum-Connes conjecture and discrete group actions on trees
- Local-global principle for the Baum-Connes conjecture with coefficients
- Proper group actions and the Baum-Connes conjecture
- Bivariant \(K\)-theory for Banach algebras and the Baum-Connes conjecture
- The Kadison-Kaplansky conjecture for word-hyperbolic groups
- The Novikov conjecture for low degree cohomology classes
- Bivariant \(K\)-theory and the Novikov conjecture
- Geometric \(K\)-theory for Lie groups and foliations
- Baum-Connes conjecture and group actions on trees
- Permanence properties of \(C^*\)-exact groups
- Topological methods in algebraic geometry. Translation from the German and appendix one by R. L. E. Schwarzenberger. Appendix two by A. Borel.
- 3-manifold groups and property \(T\) of Kazhdan
- The index of elliptic operators. I
- Periodic flows on three-manifolds
- Finitely presented subgroups of three-manifold groups
- Baum-Connes conjecture and extensions
- Seifert fibered spaces in 3-manifolds
- Amenability and exactness for dynamical systems and their 𝐶*-algebras
- A Unique Decomposition Theorem for 3-Manifolds
- La conjecture de Baum-Connes pour les groupes agissant sur les arbres
- Operator 𝐾-theory for groups which act properly and isometrically on Hilbert space
- Exactness of reduced amalgamated free product C* -algebras
- Amenable actions and exactness for discrete groups
- K-theoretic amenability for discrete groups.
- Parallelizable manifolds and the fundamental group
- The Geometries of 3-Manifolds
- Hyperbolic manifolds and discrete groups
- \(E\)-theory and \(KK\)-theory for groups which act properly and isometrically on Hilbert space
- Groups with the Haagerup property. Gromov's a-T-menability
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