Items related to Cyclic Homology in Non-Commutative Geometry (Encyclopaedia...

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

Cuntz, Joachim; Skandalis, Georges; Tsygan, Boris

 
9783540404699: Cyclic Homology in Non-Commutative Geometry (Encyclopaedia of Mathematical Sciences, 121)

Synopsis

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.

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Review

From the reviews:

"This volume of the ‘Encyclopedia of Mathematical Sciences’ is a very important and useful contribution to the literature on cyclic homology and noncommutative geometry. ... This book contains three expository articles, covering very important recent results." (Alexander Gorokhovsky, Mathematical Reviews, 2005 k)

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