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math.DGJun 1, 1998
37
citations (OpenAlex)
authors
  • Alexander Gorokhovsky
institutions
  • The Ohio State University
arXiv abstractPDF
paper

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 KK-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
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