TY  - BOOK
AU  - Rørdam,M.
AU  - Larsen,F.
AU  - Laustsen,N.
AU  - 
AU  - 
TI  - An introduction to K-theory for C*-algebrasM. Rørdam, F. Larsen, N. Laustsen
T2  - London Mathematical Society student texts
SN  - 9781107363090
AV  - QA612 .I587 2000
PY  - 2000///
CY  - Cambridge, UK, New York, NY
PB  - Cambridge University Press
KW  - K-theory
KW  - C*-algebras
KW  - Electronic Books
N1  - 2; 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; 2; b
N2  - "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
UR  - https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=551362&site=eds-live&custid=s3260518
ER  -