Cyclic homology in non-commutative geometry
著者
書誌事項
Cyclic homology in non-commutative geometry
（Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze, v. 121 . Operator algebras and non-commutative geometry ; 2）
Springer, c2004
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
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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