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Asymptotic Cyclic Cohomology

Asymptotic Cyclic Cohomology (Paperback)

£40.99
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Synopsis

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.

Science & MathematicsMathematicsGeometryScience & MathematicsMathematicsTopologyAlgebraic topology Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Publication Date: 16/12/1996 ISBN-13: 9783540619864  Details: Type: Paperback Format: Books
Availability: Printed to order. Despatched in 2-3 weeks.  

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