An extension of Mackey's method to Banach *-algebraic bundles

The main object of the present memoir is to show that the methods and results of Mackey (1958) and Blattner (1963) on the group extension representation problem go through without any essential change in the larger context of homogeneous Banach *-algebraic bundles (with enough cross sections). In or...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Fell, J. M. G. (James Michael Gardner), 1923-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, American Mathematical Society, 1969.
Colección:Memoirs of the American Mathematical Society ; no. 90.
Temas:
Banach algebras.
Group theory.
Algèbres de Banach.
Théorie des groupes.
31.46 functional analysis.
Banach algebras
Group theory
Banach-algebra's.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Introduction Part I 1. Banach bundles 2. Integration in Banach bundles over locally compact spaces 3. Banach *-algebraic bundles 4. Multipliers 5. The strong topology of the multiplier bundle 6. Homogeneous Banach *-algebraic bundles 7. Representations 8. The cross-sectional algebra 9. The structure of homogeneous Banach *-algebraic bundles 10. Examples Part II 11. Induced representations 12. Inducing in stages 13. Systems of imprimitivity 14. The imprimitivity algebra 15. The imprimitivity theorem 16. The bundle generalization of the Mackey-Blattner "subgroup analysis" 17. The Mackey obstruction; final results Appendix. The Glimm projection-valued measure.

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