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Topics in Algebraic and Topological K-Theory [electronic resource] / by Paul Frank Baum, Guillermo Cortiñas, Ralf Meyer, Rubén Sánchez-García, Marco Schlichting, Bertrand Toën.

By: Baum, Paul Frank [author.].
Contributor(s): Cortiñas, Guillermo [author.] | Meyer, Ralf [author.] | Sánchez-García, Rubén [author.] | Schlichting, Marco [author.] | Toën, Bertrand [author.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Lecture Notes in Mathematics: 2008Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011Description: XVI, 302p. 2 illus. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783642157080.Subject(s): Mathematics | K-theory | Mathematics | K-TheoryDDC classification: 512.66 Online resources: Click here to access online
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.
In: Springer eBooksSummary: 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.
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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.

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