Over the last 25 years K-theory has become an integrated part of the study of C -algebras. This book provides a very elementary introduction to this rapidly growing area, and is ideal for beginning graduate students working in functional analysis, especially operator algebras, and researchers from other areas of mathematics.
Over the last 25 years K-theory has become an integrated part of the study of C -algebras. This book provides a very elementary introduction to this rapidly growing area, and is ideal for beginning graduate students working in functional analysis, especially operator algebras, and researchers from other areas of mathematics.
Preface 1. C*-algebra theory 2. Projections and unitary elements 3. The K0-group of a unital C*-algebra 4. The functor K0 5. The ordered Abelian group K0(A) 6. Inductive limit C*-algebras 7. Classification of AF-algebras 8. The functor K1 9. The index map 10. The higher K-functors 11. Bott periodicity 12. The six-term exact sequence 13. Inductive limits of dimension drop algebras References Table of K-groups Index of symbols General index.
Preface 1. C*-algebra theory 2. Projections and unitary elements 3. The K0-group of a unital C*-algebra 4. The functor K0 5. The ordered Abelian group K0(A) 6. Inductive limit C*-algebras 7. Classification of AF-algebras 8. The functor K1 9. The index map 10. The higher K-functors 11. Bott periodicity 12. The six-term exact sequence 13. Inductive limits of dimension drop algebras References Table of K-groups Index of symbols General index.
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