Asymptotic cyclic cohomology /
The aim of cyclic cohomology theories is the approximation of K-theory by cohomology theories defined by natural chain complexes. The basic example is the approximation of topological K-theory by de Rham cohomology via the classical Chern character. A cyclic cohomology theory for operator algebras i...
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer,
[1996]
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| Series: | Lecture notes in mathematics (Springer-Verlag) ;
1642. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | The aim of cyclic cohomology theories is the approximation of K-theory by cohomology theories defined by natural chain complexes. The basic example is the approximation of topological K-theory by de Rham cohomology via the classical Chern character. A cyclic cohomology theory for operator algebras is developed in the book, based on Connes' work on noncommutative geometry. Asymptotic cyclic cohomology faithfully reflects the basic properties and features of operator K-theory. It thus becomes a natural target for a Chern character. The central result of the book is a general Grothendieck-Riemann-Roch theorem in noncommutative geometry with values in asymptotic cyclic homology. Besides this, the book contains numerous examples and calculations of asymptotic cyclic cohomology groups. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (xxiii, 238 pages) |
| Bibliography: | Includes bibliographical references (pages [237]-238) and indexes. |
| ISBN: | 9783540495796 (electronic bk.) 3540495797 (electronic bk.) |
| ISSN: | 0075-8434 ; |