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Cyclic Theory and the Bivariant Chern-Connes Character

Part of the Lecture Notes in Mathematics book series (LNMCIME,volume 1831)

Abstract

We give a survey of cyclic homology/cohomology theory including a detailed discussion of cyclic theories for various classes of topological algebras. We show how to associate cyclic classes with Fredholm modules and K-theory classes and how to construct a completely general bivariant Chern-Connes character from bivariant K-theory to bivariant cyclic theory.

Keywords

  • Topological Algebra
  • Chern Character
  • Homotopy Equivalent
  • Cyclic Homology
  • Hochschild Homology

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Correspondence to Joachim Cuntz .

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© 2004 Springer-Verlag Berlin Heidelberg

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Cuntz, J. (2004). Cyclic Theory and the Bivariant Chern-Connes Character. In: Doplicher, S., Longo, R. (eds) Noncommutative Geometry. Lecture Notes in Mathematics, vol 1831. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39702-1_2

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  • DOI: https://doi.org/10.1007/978-3-540-39702-1_2

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-20357-5

  • Online ISBN: 978-3-540-39702-1

  • eBook Packages: Springer Book Archive