Index, eta and rho-invariants on foliated bundles
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Publication:3579548
zbMath1206.58006arXiv0809.2268MaRDI QIDQ3579548
Moulay Tahar Benameur, Paolo Piazza
Publication date: 9 August 2010
Full work available at URL: https://arxiv.org/abs/0809.2268
groupoidmeasured foliation\(\eta\)-invariant\(\rho\)-invariantfoliated bundlefoliated homotopy invariantBaum-Connes mapmaximal foliation \(C^*\)-algebra
Index theory and related fixed-point theorems on manifolds (58J20) Eta-invariants, Chern-Simons invariants (58J28) Noncommutative global analysis, noncommutative residues (58J42) Index theory (19K56)
Related Items (14)
Transverse noncommutative geometry of foliations ⋮ Realizing the analytic surgery group of Higson and Roe geometrically. II: Relative \(\eta\)-invariants ⋮ Conformal invariants of twisted Dirac operators and positive scalar curvature ⋮ An equivariant PPV theorem and Paschke-Higson duality ⋮ Eta cocycles, relative pairings and the Godbillon-Vey index theorem ⋮ Gap-labelling conjecture with nonzero magnetic field ⋮ Spectral sections, twisted rho invariants and positive scalar curvature ⋮ Spectral 𝜁-invariants lifted to coverings ⋮ Leafwise homotopies and Hilbert-Poincaré complexes. I: Regular HP-complexes and leafwise pull-back maps ⋮ Pseudodifferential operators on manifolds with foliated boundaries ⋮ Adiabatic groupoid and secondary invariants in K-theory ⋮ Hierarchies of holonomy groupoids for foliated bundles ⋮ The holonomy groupoids of singularly foliated bundles ⋮ The Higson-Roe sequence for étale groupoids. II: The universal sequence for equivariant families
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