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An introduction to K-theory for C*-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

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Rørdam, M. (Mikael), 1959-
Otros Autores: Larsen, F. (Flemming), 1971-, Laustsen, N. (Niels), 1969-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge, UK ; New York, NY : Cambridge University Press, 2000.
Colección:London Mathematical Society student texts ; 49.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.