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Topics in Algebraic and Topological K-Theory de Paul Frank Baum

Topics in Algebraic and Topological K-Theory: Lecture Notes in Mathematics, cartea 2008

Autor Paul Frank Baum Editat de Guillermo Cortiñas Autor Ralf Meyer, Rubén Sánchez-García, Marco Schlichting, Bertrand Toën
en Limba Engleză Paperback – 5 noi 2010
This volume is an introductory textbook to K-theory, both algebraic and topological, and to various current research topics withinthe 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.
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Specificații

ISBN-13: 9783642157073
ISBN-10: 3642157076
Pagini: 300
Ilustrații: XVI, 308 p. 2 illus.
Dimensiuni: 155 x 235 x 25 mm
Greutate: 0.46 kg
Ediția:2011
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Graduate

Cuprins

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 andothers).- Lectures on DG-categories

Textul de pe ultima copertă

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.

Caracteristici

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.