Topics in Algebraic and Topological K-Theory

ISBN-13: 9783642157073 / Angielski / Miękka / 2010 / 308 str.

Paul Frank Baum;Guillermo Cortinas;Ralf Meyer

Opis

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.

Spis treści

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 and others).- Lectures on DG-categories