Ebook: Topics in Algebraic and Topological K-Theory

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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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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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:
Front Matter....Pages i-xvi
K-Theory for Group C?-algebras....Pages 1-43
Universal Coefficient Theorems and Assembly Maps in KK-Theory....Pages 45-102
Algebraic v. Topological K-Theory: A Friendly Match....Pages 103-165
Higher Algebraic K-Theory (After Quillen, Thomason and Others)....Pages 167-241
Lectures on DG-Categories....Pages 243-302
Back Matter....Pages 303-308

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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:
Front Matter....Pages i-xvi
K-Theory for Group C?-algebras....Pages 1-43
Universal Coefficient Theorems and Assembly Maps in KK-Theory....Pages 45-102
Algebraic v. Topological K-Theory: A Friendly Match....Pages 103-165
Higher Algebraic K-Theory (After Quillen, Thomason and Others)....Pages 167-241
Lectures on DG-Categories....Pages 243-302
Back Matter....Pages 303-308
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