Topics in Algebraic and Topological K-Theory

Paul Frank Baum, Guillermo Cortiñas, Ralf Meyer, Rubén Sánchez-García, Marco Schlichting, Bertrand Toën (Autoren)

Guillermo Cortiñas (Herausgeber)

Buch | Softcover

XVI, 308 Seiten

2010 | 2011
Springer Berlin (Verlag)
978-3-642-15707-3 (ISBN)

Infos

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.

Inhalt

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

Produkt-Details

• Erscheint lt. Verlag: 5.11.2010
• Reihe/Serie: Lecture Notes in Mathematics
• Zusatzinfo: XVI, 308 p. 2 illus.
• Verlagsort: Berlin
• Sprache: englisch
• Maße: 155 x 235 mm
• Gewicht: 463 g
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Schlagworte: 19-XX • Algebraic K-Theory • Baum-Connes conjecture • DG-categories • topological k-theory • Triangulated categories
• ISBN-10: 3-642-15707-6 / 3642157076
• ISBN-13: 978-3-642-15707-3 / 9783642157073
• Zustand: Neuware