Foliation groupoids and their cyclic homology
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Publication:5929055
DOI10.1006/aima.2000.1944zbMath0989.22010arXivmath/0003119OpenAlexW1966577185MaRDI QIDQ5929055
Publication date: 22 July 2002
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0003119
(K)-theory and homology; cyclic homology and cohomology (19D55) Foliations in differential topology; geometric theory (57R30) Topological groupoids (including differentiable and Lie groupoids) (22A22) Pseudogroups and differentiable groupoids (58H05)
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Cites Work
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- Excision in cyclic homology and in rational algebraic K-theory
- The graph of a foliation
- Classifying toposes and foliations
- The holonomic imperative and the homotopy groupoid of a foliated manifold
- A groupoid approach to C*-algebras
- Some remarks on foliations with minimal leaves
- Morita invariance in cyclic homology for nonunital algebras
- Groupoids, inverse semigroups, and their operator algebras
- Pseudodifferential operators on differential groupoids
- Cyclic cohomology of étale groupoids: The general case
- Cyclic cohomology of etale groupoids
- Higher index theorems and the boundary map in cyclic cohomology
- Čech-De Rham theory for leaf spaces of foliations
- Cyclic cohomology, the Novikov conjecture and hyperbolic groups
- The index of operators on foliated bundles
- A general families index theorem
- Functoriality of the bimodule associated to a Hilsum-Skandalis map
- Stabilité des \(C^*\)-algèbres de feuilletages
- Integration of Lie bialgebroids
- On integrability of infinitesimal actions
- A homology theory for étale groupoids
- Lie local subgroupoids and their holonomy and monodromy Lie groupoids
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