Item description for Asymptotic Cyclic Cohomology (Lecture Notes in Mathematics) by 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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Est. Packaging Dimensions: Length: 9.21" Width: 6.14" Height: 0.56" Weight: 0.83 lbs.
Release Date Dec 23, 1996
ISBN 3540619860 ISBN13 9783540619864
Availability 62 units. Availability accurate as of Oct 26, 2016 07:15.
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