Asymptotic Cyclic Cohomology
54,90 €*
Sofort verfügbar, Lieferzeit: 1-3 Tage
Produktnummer:
9783540619864
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.
| Autor: | Puschnigg, Michael |
|---|---|
| EAN: | 9783540619864 |
| Sprache: | Englisch |
| Seitenzahl: | 244 |
| Produktart: | kartoniert, broschiert |
| Verlag: | Springer Springer, Berlin Springer Berlin Heidelberg |
| Schlagworte: | Homologische Algebra K-Theorie Kohomologie |
| Größe: | 16 × 159 × 236 |
| Gewicht: | 412 g |
