K-Theory for Operator Algebras
K-Theory for Operator Algebras
$59.99
USDK-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 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. This first paperback printing has been revised and expanded and contains an updated reference list.
- Only comprehensive treatment of the subject
- Emphasizes motivation and intuition
- Many examples and applications
Reviews & endorsements
"This book gives a comprehensive survey of 'operator' K-theory or 'noncommutative' algebraic topology. Since its inception in the early 1970s, the field has grown rapidly, until a deep and elaborate machinery has evolved. This book is the first to consolidate this material and does an excellent job of presenting the path of least resistance to the key results while keeping the reader informed about the many important sidetracks." Mathematical Reviews
Product details
September 1998Paperback
9780521635325
324 pages
236 × 157 × 18 mm
0.455kg
Available
Table of Contents
- 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.
