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Baum, Paul Frank.

Topics in Algebraic and Topological K-Theory [electronic resource] / by Paul Frank Baum, Guillermo Cortiñas, Ralf Meyer, Rubén Sánchez-García, Marco Schlichting, Bertrand Toën. - XVI, 302p. 2 illus. online resource. - Lecture Notes in Mathematics, 2008 0075-8434 ; .

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.

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.

9783642157080


Mathematics.
K-theory.
Mathematics.
K-Theory.

QA612.33

512.66