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
Notes
"March 1997, volume 126, number 602 (third of 5 numbers)."
Bibliography
Includes bibliographical references (pages 105-107)
