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.
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.
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.
Paul Frank Baum
19-XX Algebraic K-theory Baum-Connes conjecture DG-categories Topological K-theory Triangulated categories