The analytic index of elliptic pseudodifferential operators on a singular foliation
โ Scribed by Androulidakis, Iakovos; Skandalis, Georges
- Book ID
- 120299396
- Publisher
- Cambridge University Press
- Year
- 2011
- Tongue
- English
- Weight
- 222 KB
- Volume
- 8
- Category
- Article
- ISSN
- 1755-0696
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๐ SIMILAR VOLUMES
## Abstract We consider a class of degenerate classical pseudodifferential operators on a closed curve and compute their index in Sobolev spaces. The index is expressed as a winding number by means of the principal and the subprincipal symbol. Furthermore, applications to the smoothness of solution
We compute the equivariant cohomology Connes Karoubi character of the index of elliptic operators along the leaves of the foliation of a flat bundle. The proof uses techniques similar to those developed in Algebraic Topology, in the study of noncommutative algebras. 1996 Academic Press, Inc. ## 1.