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Asymptotic Cyclic Cohomology

Springer Berlin,
Buch
48,10 € Lieferbar in 5-7 Tagen

Kurzbeschreibung

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.

Details
Schlagworte

Titel: Asymptotic Cyclic Cohomology
Autoren/Herausgeber: Michael Puschnigg
Aus der Reihe: Lecture Notes in Mathematics
Ausgabe: 1996

ISBN/EAN: 9783540619864

Seitenzahl: 244
Format: 23,5 x 15,5 cm
Produktform: Taschenbuch/Softcover
Gewicht: 840 g
Sprache: Englisch

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