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Cyclic Homology in Non-Commutative Geometry / Edition 1
     

Cyclic Homology in Non-Commutative Geometry / Edition 1

by Joachim Cuntz, Georges Skandalis, Boris Tsygan
 

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ISBN-10: 3642073379

ISBN-13: 9783642073373

Pub. Date: 11/13/2011

Publisher: Springer Berlin Heidelberg

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

Overview

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.

Product Details

ISBN-13:
9783642073373
Publisher:
Springer Berlin Heidelberg
Publication date:
11/13/2011
Series:
Encyclopaedia of Mathematical Sciences Series , #121
Edition description:
Softcover reprint of hardcover 1st ed. 2004
Pages:
137
Product dimensions:
6.14(w) x 9.21(h) x 0.33(d)

Table of Contents

Cyclic Theory, Bivariant K-Theory and the Bivariant Chern-Connes Character.- Cyclic Homology.- Noncommutative Geometry, the Transverse Signature Operator, and Hopf Algebras [after A. Connes and H. Moscovici].

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