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.
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