Characters of Cycles, Equivariant Characteristic Classes and Fredholm Modules
arXiv:math/9806156 · doi:10.1007/s002200050745
Abstract
We derive simple explicit formulas for the character of a cycle in the Connes' (b,B)-bicomplex of cyclic cohomology and give applications to the Fredholm modules and equivariant characteristic classes.
LaTeX, 31 pages
Cited by in corpus (15)
- On a generalized Connes-Hochschild-Kostant-Rosenberg theorem
- Index of elliptic operators for a diffeomorphism
- A bivariant Chern character for families of spectral triples
- Relative pairing in cyclic cohomology and divisor flows
- Elliptic theory for operators associated with diffeomorphisms of smooth manifolds
- Cyclic Homology and Group Actions
- The Godbillon-Vey invariant in equivariant -theory
- Chern character for twisted K-theory of orbifolds
- The Holonomy Groupoids of Singularly Foliated Bundles
- Cyclic cocycles on twisted convolution algebras
- Operator-valued pseudo-differential operators and the twisted index pairing
- Noncommutative geometry of foliations
- Invariance results for pairings with algebraic K-theory
- Deformation Quantization of Endomorphism Bundles
- Secondary Characteristic Classes and Cyclic Cohomology of Hopf Algebras