Asymptotic Cyclic Cohomology [electronic resource] /
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.
Main Authors: | Puschnigg, Michael. author., SpringerLink (Online service) |
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Format: | Texto biblioteca |
Language: | eng |
Published: |
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,
1996
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Subjects: | Mathematics., Category theory (Mathematics)., Homological algebra., K-theory., Operator theory., Algebraic topology., Category Theory, Homological Algebra., Algebraic Topology., K-Theory., Operator Theory., |
Online Access: | http://dx.doi.org/10.1007/BFb0094458 |
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