Indice d'une espérance conditionnelle

Michel Baillet; Yves Denizeau; Jean-François Havet

Compositio Mathematica (1988)

  • Volume: 66, Issue: 2, page 199-236
  • ISSN: 0010-437X

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Baillet, Michel, Denizeau, Yves, and Havet, Jean-François. "Indice d'une espérance conditionnelle." Compositio Mathematica 66.2 (1988): 199-236. <http://eudml.org/doc/89903>.

@article{Baillet1988,
author = {Baillet, Michel, Denizeau, Yves, Havet, Jean-François},
journal = {Compositio Mathematica},
keywords = {correspondences; Jones' index theory; index of a conditional expectation; von Neumann algebras},
language = {fre},
number = {2},
pages = {199-236},
publisher = {Kluwer Academic Publishers},
title = {Indice d'une espérance conditionnelle},
url = {http://eudml.org/doc/89903},
volume = {66},
year = {1988},
}

TY - JOUR
AU - Baillet, Michel
AU - Denizeau, Yves
AU - Havet, Jean-François
TI - Indice d'une espérance conditionnelle
JO - Compositio Mathematica
PY - 1988
PB - Kluwer Academic Publishers
VL - 66
IS - 2
SP - 199
EP - 236
LA - fre
KW - correspondences; Jones' index theory; index of a conditional expectation; von Neumann algebras
UR - http://eudml.org/doc/89903
ER -

References

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  1. 1 P.L. Aubert: Théorie de Galois pour une W*-algèbre, Comment Math. Helvetici, 51 (1975) 411-433. Zbl0339.46044MR428055
  2. 2 J. Bion-Nadal: Von Neumann subalgebras of a Type II1 factor: correspondances and property T, Preprint. 
  3. 3 N. Bourbaki: Espaces vectoriels topologiques, Chapitre IV, Hermann, Paris. Zbl0482.46001
  4. 4 F. Combes: Systèmes hilbertiens à gauche et représentation de Gelfand-Segal. Operator algebras and groups representations, Monographs and Studies in Mathematics17, Pitman (1984) 77-108. Zbl0524.46031MR731765
  5. 5 F. Combes and C. Delaroche: Groupe modulaire d'une espérance conditionnelle dans une algèbre de von Neumann, Bull. Soc. Math. France103 (1975) 385-426. Zbl0321.46050MR415340
  6. 6 A. Connes: On the spatial theory of von Neumann algebras, J. Funct. Analysis, 35 (1980) 153-164. Zbl0443.46042MR561983
  7. 7 A. Connes: Correspondances, Notes manuscrites (1980). 
  8. 8 J. Dixmier: Les algèbres d'opérateurs dans l'espace hilbertien, Gauthier-Villars, Paris, (1969). Zbl0175.43801
  9. 9 U. Haagerup: Normal weights on W*-algebras, J. Funct. Analysis19 (1975) 302-317. Zbl0304.46043MR380438
  10. 10 U. Haagerup: Operator valued weights in von Neumann algebras I, J. Funct. Analysis32 (1979) 175-206; II, J. Funct. Analysis33 (1979) 339-361. Zbl0426.46047MR534673
  11. 11 J.F. Havet: Calcul fonctionnel continu dans les modules hilbertiens autoduaux, Preprint, Orléans. 
  12. 12 J.F. Havet: N-algèbres hilbertiennes, Preprint, Orléans. 
  13. 13 V.F.R. Jones: Index for subfactors, Inventionnes Math.72 (1983) 1-25. Zbl0508.46040MR696688
  14. 14 H. Kosaki: Extension of Jones' theory on index to arbitrary factors, J. Funct. Analysis66 (1986) 123-140. Zbl0607.46034MR829381
  15. 15 W.L. Paschke: Inner product modules over B*-algebras, Trans. Am. Math. Soc.182 (1973) 443-468. Zbl0239.46062MR355613
  16. 16 W.L. Paschke: Inner product modules arising from compact automorphism groups on von Neumann algebras, Trans Am. Math. Soc.224 (1976) 87-102. Zbl0339.46048MR420294
  17. 17 M. Pimsner and S. Popa: Entropy and index for subfactors, Ann. Scient. Ec. Norm. Sup.19 (1986) 57-106. Zbl0646.46057MR860811
  18. 18 M.A. Rieffel: Induced representations of C*-algebras, Adv. Math.13 (1974) 176-257. Zbl0284.46040MR353003
  19. 19 M.A. Rieffel: Morita equivalence for C*-algebras and W*-algebras, J. Pure Appl. Algebra5 (1974) 51-96. Zbl0295.46099MR367670
  20. 20 J.L. Sauvageot: Sur le produit tensoriel relatif d'espaces de Hilbert, J. Operator Theory9 (1983) 237-252. Zbl0517.46050MR703809
  21. 21 H. Zettl: A Characterisation of Ternary rings of operators, Adv. Math.48 (1983) 117-143. Zbl0517.46049MR700979

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