Topics in algebraic and topological 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 betweenalgebraic 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. INDICE: 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

• ISBN: 978-3-642-15707-3
• Editorial: Springer
• Encuadernacion: Rústica
• Páginas: 294
• Fecha Publicación: 31/10/2010
• Nº Volúmenes: 1
• Idioma: Inglés