Asymptotic cyclic cohomology / / Michael Puschnigg
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| Autore: |
Puschnigg Michael <1959->
|
| Titolo: |
Asymptotic cyclic cohomology / / Michael Puschnigg
|
| Pubblicazione: | Berlin : , : Springer, , [1996] |
| ©1996 | |
| Edizione: | 1st ed. 1996. |
| Descrizione fisica: | 1 online resource (XXIV, 244 p.) |
| Disciplina: | 514.23 |
| Soggetto topico: | Homology theory |
| K-theory | |
| Note generali: | Bibliographic Level Mode of Issuance: Monograph |
| Nota di contenuto: | The asymptotic homotopy category -- Algebraic de Rham complexes -- Cyclic cohomology -- Homotopy properties of X-complexes -- The analytic X-complex -- The asymptotic X-complex -- Asymptotic cyclic cohomology of dense subalgebras -- Products -- Exact sequences -- KK-theory and asymptotic cohomology -- Examples. |
| Sommario/riassunto: | 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. |
| Titolo autorizzato: | Asymptotic cyclic cohomology |
| ISBN: | 3-540-49579-7 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 996466600303316 |
| Lo trovi qui: | Univ. di Salerno |
| Opac: | Controlla la disponibilità qui |
Serie:
Lecture Notes in Mathematics, . 0075-8434 ; ; 1642