Topics in Algebraic and Topological K-Theory

• Main Authors: Baum, Paul Frank (Author), Cortiñas, Guillermo (Author), Meyer, Ralf (Author), Sánchez-García, Rubén (Author), Schlichting, Marco (Author), Toën, Bertrand (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
• Series: Lecture Notes in Mathematics, 2008
• Subjects: Mathematics.; K-theory.; K-Theory.

This 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, t...

Table of Contents:

• 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.