Cyclic Homology in Non-Commutative Geometry (Encyclopaedia of Mathematical Sciences)
1 edition
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Publication
2004-01-22 - Springer
Language
English
Word Count
34,250 words, Guess
Page Count
137 pages
Physical Format
Hardcover
Identifiers
- Open LibraryOL9056964M
- ISBN-139783540404699
- ISBN-103540404694
- OCLC Control Number53805410
- OCLC Control Numbercyclichomologyno00cunt
and 2 more
- Library of Congress Control Number2006299569
- Goodreads5087965
Classifications
- LCCQA612.3 .C86 2004
Description
This volume contains contributions by three authors and treats aspects of noncommutative geometry that are related to cyclic homology. The authors give rather complete accounts of cyclic theory from different and complementary points of view. The connections between topological (bivariant) K-theory and cyclic theory via generalized Chern-characters are discussed in detail. This includes an outline of a framework for bivariant K-theory on a category of locally convex algebras. On the other hand, cyclic theory is the natural setting for a variety of general index theorems. A survey of such index theorems (including the abstract index theorems of Connes-Moscovici and of Bressler-Nest-Tsygan) is given and the concepts and ideas involved in the proof of these theorems are explained.
Description
"This volume contains contributions by three authors and treats aspects of non-commutative geometry that are related to cyclic homology. The authors give complete accounts of cyclic theory from different and complementary points of view. These accounts cover in particular many advanced aspects of cyclic theory that have not been treated in book form until now. Cyclic theory is the natural setting for a variety of general index theorems. A survey of such index theorems (including the abstract index theorems of Connes-Moscovici and of Bressler-Nest-Tsygan) is given and the concepts and ideas involved in the proof of these theorems are explained. Moreover connections between topological (bivariant) K-theory and cyclic theory via generalized Chern-characters are discussed in detail. This includes an outline of a framework for bivariant K-theory on a category of locally convex algebras."--BOOK JACKET.
Subjects
Topics
Other Editions
- Cyclic Homology in Non-Commutative Geometry (Encyclopaedia of Mathematical Sciences)
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