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Crossed products of von Neumann algebras by equivalence relations and their subalgebras /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Fulman, Igor, 1965-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, R.I. : American Mathematical Society, ©1997.
Colección:Memoirs of the American Mathematical Society ; no. 602.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1. Introduction 2. Preliminaries 3. Unitary realization of $\alpha _{(y, x)}$ 4. Construction of $\tilde {M}^\nabla $ 5. Coordinate representation of elements of $M$ 6. The expectation $E$ 7. Coordinates in $\tilde {M}^\nabla $ 8. The expectation $E'$ 9. Tomita-Takesaki theory for $\tilde {M}$ and $\tilde {M}^\nabla $ 10. $I(M)$-automorphisms of $\tilde {M}$ 11. Flows of automorphisms 12. The Feldman-Moore-type structure theorem 13. Isomorphisms of crossed products 14. Bimodules and subalgebras of $\tilde {M}$ 15. Spectral theorem for bimodules 16. Analytic algebra of a flow of automorphisms 17. Properties of $\tilde {M}$ 18. Hyperfiniteness and dilations 19. The construction of Yamanouchi 20. Examples and particular cases.