Hidden Bibliographic Details
| Other authors / contributors: | Puschnigg, Michael, 1959-
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| ISBN: | 9783540495796
3540495797
3540619860
9783540619864
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| Notes: | Includes bibliographical references (pages 237-238) and indexes.
Print version record.
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| 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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| Other form: | Print version: Puschnigg, Michael, 1959- Asymptotic cyclic cohomology. Berlin ; New York : Springer, ©1996 3540619860
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