Overview

This handbook offers a compilation of techniques and results in K-theory. These two volumes consist of chapters, each of which is dedicated to a specific topic and is written by a leading expert. Many chapters present historical background; some present previously unpublished results, whereas some present the first expository account of a topic; many discuss future directions as well as open problems. The overall intent of this handbook is to offer the interested reader an exposition of our current state of knowledge as well as an implicit blueprint for future research. This handbook should be especially useful for students wishing to obtain an overview of K-theory and for mathematicians interested in pursuing challenges in this rapidly expanding field.

Full Product Details

Author:   Eric Friedlander ,  Daniel R. Grayson
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2005 ed.
Dimensions:   Width: 15.50cm , Height: 3.00cm , Length: 23.50cm
Weight:   2.103kg
ISBN:  

9783540230199

ISBN 10:   354023019
Pages:   1166
Publication Date:   18 July 2005
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock  
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.
Language:   eng, fre

Table of Contents

Part I: Foundations and Computations: Deloopings in Algebraic K- theory.- The Motivic Spectral Sequence.- K-theory of truncated polynomial algebras.- Bott Periodicity in Topological, Algebraic and Hermitian K-theory.- Algebraic K-theory of Rings and Integers in Local and Global Fields. Part II: K-theory and Algebraic Geometry: Motivic Cohomology, K-theory and topological cyclic Homology.- K-theory and Intersection Theory.- Regulators.- Algebraic K-theory, Algebraic Cycles and Arithmetic Geometry.- Mixed Motives. Part III: K-theory and Geometric Topology: Witt Groups.- K-theory and Geometric Topology.- Quadratic K-theory and Geometric Topology. Part IV: K-theory and Operator Algebras: Bivariant K-and Cyclic Theories.- The Baum-Connes and the Farrell-Jones Conjectures in K-and L-theory.- Comparison Between Algebraic and Topological K-theory for Banach Algebras and C*-Algebras. Part V: Other Forms of K-theory: Semi-topological K-theory.- Equivariant K-theory.- K(1)-local Homotopy Theory, Iwasawa Theory and Algebraic K-theory.- The K-theory of Triangulated Categories.

Reviews

Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions