Cyclic Homology in Non-Commutative Geometry (Encyclopaedia of Mathematical Sciences, #121)

by Joachim Cuntz, Georges Skandalis, and Boris Tsygan

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Contributions by three authors treat aspects of noncommutative geometry that are related to cyclic homology. The authors give rather complete accounts of cyclic theory from different points of view. The connections between (bivariant) K-theory and cyclic theory via generalized Chern-characters are discussed in detail. Cyclic theory is the natural setting for a variety of general abstract index theorems. A survey of such index theorems is given and the concepts and ideas involved in these theorems are explained.

  • ISBN13 9783642073373
  • Publish Date 23 January 2011 (first published 17 November 2003)
  • Publish Status Active
  • Publish Country DE
  • Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
  • Imprint Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Edition Softcover reprint of hardcover 1st ed. 2004
  • Format Paperback
  • Pages 137
  • Language English