Transverse noncommutative geometry of foliations
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Publication:1629710
DOI10.1016/j.geomphys.2018.08.011zbMath1425.58005arXiv1804.06837OpenAlexW2796766349MaRDI QIDQ1629710
James L. Heitsch, Moulay Tahar Benameur
Publication date: 12 December 2018
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.06837
(K)-theory and operator algebras (including cyclic theory) (46L80) Miscellaneous applications of (K)-theory (19M05) Noncommutative geometry (à la Connes) (58B34) Equivariant (K)-theory (19L47) Index theory (19K56)
Related Items (5)
The index of leafwise \(G\)-transversally elliptic operators on foliations ⋮ Atiyah covering index theorem for Riemannian foliations ⋮ Hierarchies of holonomy groupoids for foliated bundles ⋮ The holonomy groupoids of singularly foliated bundles ⋮ The Godbillon-Vey invariant and equivariant \(KK\)-theory
Cites Work
- A groupoid approach to C*-algebras
- The Novikov conjecture for hyperbolic foliations
- Hopf algebras, cyclic cohomology and the transverse index theorem
- Noncommutative spectral geometry of Riemannian foliations
- A symbol calculus for foliations
- Generalized s-numbers of \(\tau\)-measurable operators
- The local index formula in noncommutative geometry
- The Egorov theorem for transverse Dirac-type operators on foliated manifolds
- The index of elliptic operators. III
- Essential self-adjointness of powers of generators of hyperbolic equations
- Type II non-commutative geometry. I: Dixmier trace in von Neumann algebras
- Estimates for singular Radon transforms and pseudodifferential operators with singular symbols
- Index, eta and rho-invariants on foliated bundles
- Calculus on Heisenberg Manifolds. (AM-119)
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