Introduction to K-theory for C*-algebras, An
C*-algebras K-theory e-böcker
Cambridge University Press
2000
EISBN 9780511623806
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
"Over the last 25 years K-theory has become an integrated part of the study of C*-algebras. This book gives an elementary introduction to this interesting and rapidly growing area of mathematics.
Fundamental to K-theory is the association of a pair of Abelian groups, K0(A) and K1(A), to each C*-algebra A. These groups reflect the properties of A in many ways. This book covers the basic properties of the functors K0 and K1 and their interrelationship. Applications of the theory include Elliott's classification theorem for AF-algebras, and it is shown that each pair of countable Abelian groups arises as the K-groups of some C*-algebra."--pub. desc.
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
"Over the last 25 years K-theory has become an integrated part of the study of C*-algebras. This book gives an elementary introduction to this interesting and rapidly growing area of mathematics.
Fundamental to K-theory is the association of a pair of Abelian groups, K0(A) and K1(A), to each C*-algebra A. These groups reflect the properties of A in many ways. This book covers the basic properties of the functors K0 and K1 and their interrelationship. Applications of the theory include Elliott's classification theorem for AF-algebras, and it is shown that each pair of countable Abelian groups arises as the K-groups of some C*-algebra."--pub. desc.
