Lectures on cyclic homology
著者
書誌事項
Lectures on cyclic homology
（Lectures on mathematics and physics, . Mathematics ; 83）
Published for the Tata Institute of Fundamental Research [by] Springer-Verlag, 1991
- : us
- : gw
- タイトル別名
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Cyclic homology
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注記
Bibliography: p. 97-98
Includes index
内容説明・目次
内容説明
This book is a basic introduction to cyclic homology, divided into three parts. The first, chapters 1 and 2, is background material on exact couples and Hochschild homology for the beginning reader. In chapters 3, 4 and 5 three definitions of cyclic homology are considered, its variance under Morita equivalence, its relation to Lie algebra homology, and the Connes' B operator. The third part, chapters 6 and 7, relates cyclic homology to differential forms and shows how the Chern character takes values in cyclic homology. Included is the classical Hochschild-Kostant-Rosenberg theorem relating differential forms to Hochschild homology.
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