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Crossed products of von Neumann algebras by equivalence relations and their subalgebras / [electronic resource] Igor Fulman.

By: Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 602Publication details: Providence, R.I. : American Mathematical Society, c1997.Description: 1 online resource (ix, 107 p.)ISBN:
  • 9781470401870 (online)
Subject(s): Additional physical formats: Crossed products of von Neumann algebras by equivalence relations and their subalgebras /DDC classification:
  • 510 s 512/.55 21
LOC classification:
  • QA3 .A57 no. 602 QA326
Online resources:
Contents:
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
Item type: E-BOOKS
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IMSc Library Link to resource Available EBK13055

"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

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

Mode of access : World Wide Web

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