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Mathematics - Algebra | Topics in Algebraic and Topological K-Theory

Topics in Algebraic and Topological K-Theory

Series: Lecture Notes in Mathematics, Vol. 2008

Baum, P.F., Cortiñas, G., Meyer, R., Sánchez-García, R., Schlichting, M., Toën, B.

Cortiñas, Guillermo (Ed.)

2011, XVI, 302p. 2 illus..

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  • Offers an elementary, accessible approach geared to beginners in the subject
  • Acquaints readers with the material necessary to begin working in major research problems of current interest
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.

Content Level » Graduate

Keywords » 19-XX - Algebraic K-theory - Baum-Connes conjecture - DG-categories - Topological K-theory - Triangulated categories

Related subjects » Algebra

Table of contents 

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

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