| Asymptotic Cyclic Cohomology 1996 Edition Contributor(s): Puschnigg, Michael (Author) |
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ISBN: 3540619860 ISBN-13: 9783540619864 Publisher: Springer OUR PRICE: $66.45 Product Type: Paperback Published: December 1996 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Algebra - Abstract - Mathematics | Mathematical Analysis - Mathematics | Functional Analysis |
| Dewey: 514.23 |
| LCCN: 96039705 |
| Series: Lecture Notes in Computer Science, |
| Physical Information: 0.56" H x 6.14" W x 9.21" (0.84 lbs) 244 pages |