Topics in Algebraic and Topological K-Theory [Paperback]

This volume is an introductory textbook to K-theory, both algebraic and topological, and to various current research topics withinthe field, including Kasparov's bivariant K-theory, the Baum-Connes conjecture, the comparison between algebraic and topological K-theory of topological algebras, the K-theory of schemes, and the theory of dg-categories.This volume offers a thorough introduction to K-theory, both algebraic and topological, and to current research topics including Kasparov's bivariant K-theory, the Baum-Connes conjecture, the K-theory of schemes, the theory of dg-categories, and more.K-theory for group C*-algebras.- Universal Coefficient Theorems and assembly maps in KK-theory.- Algebraic v. topological K-theory: a friendly match.- Higher algebraic K-theory (after Quillen, Thomason andothers).- Lectures on DG-categoriesThis volume is an introductory textbook to K-theory, both algebraic and topological, and to various current research topics within the field, including Kasparov's bivariant K-theory, the Baum-Connes conjecture, the comparison between algebraic and topological K-theory of topological algebras, the K-theory of schemes, and the theory of dg-categories.The approach is elementary and accessible to beginners in the subject.Helps get readers acquainted with the necessary material to begin working in major research problems of current interest.GB