Topics in Algebraic and Topological K-Theory

1. Auflage 2010
ISBN: 978-3-642-15707-3
Verlag: Springer

Buch, Englisch, 308 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1010 g

Reihe: Lecture Notes in Mathematics

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, the K-theory of schemes, and the theory of dg-categories.

Zielgruppe

Graduate

Autoren/Hrsg.

Baum, Paul Frank

Cortiñas, Guillermo

Meyer, Ralf

Sánchez-García, Rubén

Schlichting, Marco

Toën, Bertrand

Fachgebiete

• Mathematik | Informatik Mathematik Topologie Algebraische Topologie
• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie

Inhaltsverzeichnis

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