Asymptotic Cyclic Cohomology

von Michael Puschnigg

244 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• ISBN: 9783540619864
• Sprache: Englisch
• Erscheinungsdatum: 16.12.1996
• Genre: Mathematik/Arithmetik, Algebra
• Verlag: Springer Berlin