K-Theory and C*-Algebras: A Friendly Approach
(Sprache: Englisch)
Introduces the basics of K-theory, and explains details of the various concepts encountered en route to a deeper understanding of the subject. Exercises have also been included. Other subjects dealt with include: the classification of extensions of C*-algebras and the functional K-theory.
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Introduces the basics of K-theory, and explains details of the various concepts encountered en route to a deeper understanding of the subject. Exercises have also been included. Other subjects dealt with include: the classification of extensions of C*-algebras and the functional K-theory.
Inhaltsverzeichnis zu „K-Theory and C*-Algebras: A Friendly Approach “
General notation; Introduction; PART I: C*-ALGEBRAS; 1. C*-algebras - a summary; 2. Multiplier algebras; 3. Extensions of C*-algebras; 4. Invertibles and unitaries; 5. Projections; PART II: FUNDAMENTALS OF K-THEORY; 6. K0-basic properties; 7. K1 and suspensions; 8. The index map in K-theory; 9. Bott periodicity; 10. K-theory for multiplier algebras; 11. Homology; 12. Some examples: AF-algebras, Cuntz algebras, rotation algebras; 13. Vector bundles and topological K-theory; PART III: HILBERT MODULES AND A GENERALIZED INDEX THEORY; 14. The classical Fredholm index; 15. Hilbert modules; 16. The Kuiper-Mingo theorem; 17. A generalized Fredholm index; PART IV: APPENDICES; G. The Grothendieck group; L. Inductive limits; O. (Dis)order and positivity in C*-algebras; T. Tensor products -or: the importance of being subcross; References; Subject index
Bibliographische Angaben
- Autor: N. E. Wegge-Olsen
- 1993, 382 Seiten, Maße: 16,4 x 24,2 cm, Gebunden, Englisch
- Verlag: Oxford University Press
- ISBN-10: 0198596944
- ISBN-13: 9780198596943
Sprache:
Englisch
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