Fulman, Igor, 1965-

Crossed products of von Neumann algebras by equivalence relations and their subalgebras / [electronic resource] Igor Fulman. - Providence, R.I. : American Mathematical Society, c1997. - 1 online resource (ix, 107 p.) - Memoirs of the American Mathematical Society, v. 602 0065-9266 (print); 1947-6221 (online); .

"March 1997, volume 126, number 602 (third of 5 numbers)."

Includes bibliographical references (p. 105-107).

1. Introduction 2. Preliminaries 3. Unitary realization of $\alpha _$ 4. Construction of $\tilde ^
abla $ 5. Coordinate representation of elements of $M$ 6. The expectation $E$ 7. Coordinates in $\tilde ^
abla $ 8. The expectation $E'$ 9. Tomita-Takesaki theory for $\tilde $ and $\tilde ^
abla $ 10. $I(M)$-automorphisms of $\tilde $ 11. Flows of automorphisms 12. The Feldman-Moore-type structure theorem 13. Isomorphisms of crossed products 14. Bimodules and subalgebras of $\tilde $ 15. Spectral theorem for bimodules 16. Analytic algebra of a flow of automorphisms 17. Properties of $\tilde $ 18. Hyperfiniteness and dilations 19. The construction of Yamanouchi 20. Examples and particular cases

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Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012


Mode of access : World Wide Web

9781470401870 (online)


Von Neumann algebras--Crossed products.
Equivalence relations (Set theory)

QA3 QA326 / .A57 no. 602

510 s 512/.55
The Institute of Mathematical Sciences, Chennai, India

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