Asymptotic Cyclic Cohomology (Paperback, 1996 ed.)

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.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Lecture Notes in Mathematics, 1642
Release date:	December 1996
First published:	1996
Authors:	Michael Puschnigg
Dimensions:	235 x 155 x 14mm (L x W x T)
Format:	Paperback
Pages:	244
Edition:	1996 ed.
ISBN-13:	978-3-540-61986-4
Categories:	Books > Science & Mathematics > Mathematics > Geometry > General Books > Science & Mathematics > Mathematics > Topology > Algebraic topology
LSN:	3-540-61986-0
Barcode:	9783540619864

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