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.
Author(s): Paul Frank Baum, Guillermo Cortiñas, Ralf Meyer, Rubén Sánchez-García, Marco Schlichting, Bertrand Toën (auth.)
Series: Lecture Notes in Mathematics 2008
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2011
Language: English
Pages: 308
Tags: K-Theory
Front Matter....Pages i-xvi
K -Theory for Group C ∗-algebras....Pages 1-43
Universal Coefficient Theorems and Assembly Maps in KK-Theory....Pages 45-102
Algebraic v. Topological K -Theory: A Friendly Match....Pages 103-165
Higher Algebraic K -Theory (After Quillen, Thomason and Others)....Pages 167-241
Lectures on DG-Categories....Pages 243-302
Back Matter....Pages 303-308