Asymptotic cyclic cohomology
Collection : Lecture notes in mathematics. . 1642 Mention d'édition :1996th ed. Publié par : Springer ([S.l.] ) Détails physiques : 244 p. 24 cm. ISBN :3540619860 (paperback); 9783540619864 (paperback). Année : 2009Type de document | Site actuel | Cote | Statut | Date de retour prévue | Code à barres | Réservations |
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Livre | La bibliothèque des Sciences Exactes et Naturelles | 510 PUS (Parcourir l'étagère) | Disponible | 0000000018649 |
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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