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Science/Engineering Asymptotic Cyclic Cohomology: Michael Puschnigg

Posted on 2010-03-16




Name:Science/Engineering Asymptotic Cyclic Cohomology: Michael Puschnigg
ASIN/ISBN:3540619860
Language:English
File size:1.3 Mb
ISBN: 3540619860
Publish Date: 1997-04
File Type: PDF / djvu (ocr)
Pages: 238 pages
File Size: 7.23 / 1.30 Mb
Other Info: Springer
   Science/Engineering Asymptotic Cyclic Cohomology: Michael Puschnigg

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Asymptotic Cyclic Cohomology: Michael Puschnigg

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.

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