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Knygos aprašymas

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.

Informacija

Autorius: Michael Puschnigg
Serija: Lecture Notes in Mathematics
Leidėjas: Springer Berlin Heidelberg
Išleidimo metai: 1996
Knygos puslapių skaičius: 268
ISBN-10: 3540619860
ISBN-13: 9783540619864
Formatas: Knyga minkštu viršeliu
Kalba: Anglų
Žanras: Functional analysis and transforms

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