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Equivariant E-theory for C*-algebras /

Let A and B be C*-algebras which are equipped with continuous actions of a second countable, locally compact group G. We define a notion of equivariant asymptotic morphism, and use it to define equivariant E-theory groups E G(A, B) which generalize the E-theory groups of Connes and Higson. We develo...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Guentner, Erik, 1965-
Otros Autores: Higson, Nigel, 1963-, Trout, Jody
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, R.I. : American Mathematical Society, ©2000.
Colección:Memoirs of the American Mathematical Society ; no. 703.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Introduction 1. Asymptotic morphisms 2. The homotopy category of asymptotic morphisms 3. Functors on the homotopy category 4. Tensor products and descent 5. $C$*-algebra extensions 6. E-theory 7. Cohomological properties 8. Proper algebras 9. Stabilization 10. Assembly 11. The Green-Julg theorem 12. Induction and compression 13. A generalized Green-Julg theorem 14. Application to the Baum-Connes conjecture 15. Concluding remark on assembly for proper algebras.