Non-Fiction Books:

Asymptotic Cyclic Cohomology

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Paperback / softback
$197.00
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Description

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.
Release date NZ
December 16th, 1996
Audiences
  • Postgraduate, Research & Scholarly
  • Professional & Vocational
Illustrations
XXIV, 244 p.
Pages
244
Dimensions
156x234x14
ISBN-13
9783540619864
Product ID
2841786

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