TY  - BOOK
AU  - Fulman,Igor
TI  - Crossed products of von Neumann algebras by equivalence relations and their subalgebras
T2  - Memoirs of the American Mathematical Society, 
SN  - 9781470401870 (online)
AV  - QA3QA326 .A57 no. 602
U1  - 510 s512/.55 21
PY  - 1997///
CY  - Providence, R.I.
PB  - American Mathematical Society
KW  - Von Neumann algebras
KW  - Crossed products
KW  - Equivalence relations (Set theory)
N1  - "March 1997, volume 126, number 602 (third of 5 numbers)."; Includes bibliographical references (p. 105-107); 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; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012
UR  - http://www.ams.org/memo/0602
UR  - http://dx.doi.org/10.1090/memo/0602
ER  -