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K-Theory for Operator Algebras
Taschenbuch von Bruce Blackadar
Sprache: Englisch

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Beschreibung
K-theory has helped convert the theory of operator algebras from a simple branch of functional analysis to a subject with broad applicability throughout mathematics, especially in geometry and topology, and many mathematicians of diverse backgrounds must learn the essential parts of the theory. This book is the only comprehensive treatment of K-theory for operator algebras, and is intended to help students, non specialists, and specialists learn the subject. This first paperback printing has been revised and expanded and contains an updated reference list. This book develops K-theory, the theory of extensions, and Kasparov's bivariant KK-theory for C*-algebras. Special topics covered include the theory of AF algebras, axiomatic K-theory, the Universal Coefficient Theorem, and E-theory. Although the book is technically complete, motivation and intuition are emphasized. Many examples and applications are discussed.
K-theory has helped convert the theory of operator algebras from a simple branch of functional analysis to a subject with broad applicability throughout mathematics, especially in geometry and topology, and many mathematicians of diverse backgrounds must learn the essential parts of the theory. This book is the only comprehensive treatment of K-theory for operator algebras, and is intended to help students, non specialists, and specialists learn the subject. This first paperback printing has been revised and expanded and contains an updated reference list. This book develops K-theory, the theory of extensions, and Kasparov's bivariant KK-theory for C*-algebras. Special topics covered include the theory of AF algebras, axiomatic K-theory, the Universal Coefficient Theorem, and E-theory. Although the book is technically complete, motivation and intuition are emphasized. Many examples and applications are discussed.
Inhaltsverzeichnis
1. Introduction to K-theory; 2. Preliminaries; 3. K-theory and order; 4. K1-theory and Bott periodicity; 5. K-theory of crossed products; 6. More preliminaries; 7. Theory of extensions; 8. Kasparov's KK-theory; 9. Further topics.
Details
Erscheinungsjahr: 2002
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780521635325
ISBN-10: 0521635322
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Blackadar, Bruce
Redaktion: Levy, Silvio
Auflage: Revised
Hersteller: Cambridge University Press
Maße: 229 x 152 x 20 mm
Von/Mit: Bruce Blackadar
Erscheinungsdatum: 23.11.2002
Gewicht: 0,528 kg
Artikel-ID: 104662498
Inhaltsverzeichnis
1. Introduction to K-theory; 2. Preliminaries; 3. K-theory and order; 4. K1-theory and Bott periodicity; 5. K-theory of crossed products; 6. More preliminaries; 7. Theory of extensions; 8. Kasparov's KK-theory; 9. Further topics.
Details
Erscheinungsjahr: 2002
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780521635325
ISBN-10: 0521635322
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Blackadar, Bruce
Redaktion: Levy, Silvio
Auflage: Revised
Hersteller: Cambridge University Press
Maße: 229 x 152 x 20 mm
Von/Mit: Bruce Blackadar
Erscheinungsdatum: 23.11.2002
Gewicht: 0,528 kg
Artikel-ID: 104662498
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