On relative amenability for von Neumann algebras

Claire Anantharaman-Delaroche

Compositio Mathematica (1990)

  • Volume: 74, Issue: 3, page 333-352
  • ISSN: 0010-437X

How to cite

top

Anantharaman-Delaroche, Claire. "On relative amenability for von Neumann algebras." Compositio Mathematica 74.3 (1990): 333-352. <http://eudml.org/doc/90025>.

@article{Anantharaman1990,
author = {Anantharaman-Delaroche, Claire},
journal = {Compositio Mathematica},
keywords = {amenable group actions; correspondence between two von Neumann algebras; commuting normal representations; self-dual right Hilbert N-module},
language = {eng},
number = {3},
pages = {333-352},
publisher = {Kluwer Academic Publishers},
title = {On relative amenability for von Neumann algebras},
url = {http://eudml.org/doc/90025},
volume = {74},
year = {1990},
}

TY - JOUR
AU - Anantharaman-Delaroche, Claire
TI - On relative amenability for von Neumann algebras
JO - Compositio Mathematica
PY - 1990
PB - Kluwer Academic Publishers
VL - 74
IS - 3
SP - 333
EP - 352
LA - eng
KW - amenable group actions; correspondence between two von Neumann algebras; commuting normal representations; self-dual right Hilbert N-module
UR - http://eudml.org/doc/90025
ER -

References

top
  1. [1] Anantharaman-Delaroche, C., Action moyennable d'un groupe localement compact sur une algèbre de von Neumann, Math. Scand.45 (1979) 289-304. Zbl0438.46046MR580607
  2. [2] Anantharaman-Delaroche, C., On Connes' property T for von Neumann algebras, Math. Japonica32 (1987) 337-355. Zbl0656.46052MR914742
  3. [3] Anantharaman-Delaroche, C., Systèmes dynamiques non commutatifs et moyennabilité, Math. Ann.279 (1987) 297 - 315. Zbl0608.46036MR919508
  4. [4] Baillet, M., Denizeau, Y. and Havet, J.F., Indice d'une espérance conditionnelle, Compositio Mathematica66 (1988) 199-236. Zbl0657.46041MR945550
  5. [5] Choi, M.D., Effros, E., Separable nuclear C*-algebras and injectivity, Duke Math. J.43 (1976) 309-322. Zbl0382.46026MR405117
  6. [6] Combes, F., Crossed products and Morita equivalence, Proc. London Math. Soc.49 (1984) 289-306. Zbl0521.46058MR748991
  7. [7] Connes, A., Classification of injective factors, Ann. of Math.106 (1976) 73-115. Zbl0343.46042MR454659
  8. [8] Connes, A., Correspondences, unpublished. 
  9. [9] Connes, A. and Jones, V., Property T for von Neumann algebras, Bull. London Math. Soc.17 (1985) 57-62. Zbl1190.46047MR766450
  10. [10] Dixmier, J., Les C*-algèbres et leurs représentations, Gauthier-Villars, Paris, 1969. Zbl0174.18601MR246136
  11. [11] Effros, E. and Lance, C., Tensor products of operator algebras, Advances in Math.25 (1977) 1-34. Zbl0372.46064MR448092
  12. [12] Fell, J.M.G., Weak containment and induced representations of groups, Canad. J. Math.14 (1962) 237-268. Zbl0138.07301MR150241
  13. [13] Haagerup, U., The standard form of von Neumann algebras, Math. Scand.37 (1975) 271-283. Zbl0304.46044MR407615
  14. [14] Haagerup, U., Operator valued weights in von Neumann algebras I, J. Funct. Anal.32 (19-79) 175-206. Zbl0426.46046MR534673
  15. [15] Haagerup, U., An example of a non-nuclear C*-algebra which has the metric approximation property, Invent. Math.50 (1979) 279-293. Zbl0408.46046MR520930
  16. [16] Kallman, R.R., A generalization of free action, Duke Math. J.36 (1969) 781-789. Zbl0184.17101MR256181
  17. [17] Kasparov, G.G., The operator K-functor and extensions of C*-algebras, Izv. Akad. Nauk SSSR, Ser. Mat.44 (1980) 571-636 = Math. USSR Izv.16 (1981) 513-572. Zbl0464.46054MR582160
  18. [18] Kosaki, H., Extension of Jones' theory on index to arbitrary factors, J. Funct. Anal.66 (1986), 123-140. Zbl0607.46034MR829381
  19. [19] Mingo, J., Weak containment of correspondences and approximate factorization of completely positive maps, Preprint. Zbl0715.46027MR1040957
  20. [20] Paschke, W.L., Inner product modules over B*-algebras, Trans. Amer. Math. Soc.182 (1973) 443-468. Zbl0239.46062MR355613
  21. [21] Popa, S., Correspondences, Preprint. 
  22. [22] Rieffel, M.A., Induced representations of C*-algebras, Advances in Math.13 (1974) 176-257. Zbl0284.46040MR353003
  23. [23] Rieffel, M.A., Morita equivalence for C*-algebras and W*-algebras, J. Pure Appl. Alg.5 (1974) 51-96. Zbl0295.46099MR367670
  24. [24] Tomiyama, J., Tensor products and projections of norm one in von Neumann algebras, Lecture Notes, Mathematical Institute, Copenhagen University, 1970. 
  25. [25] Van Daele, A., Continuous crossed products and type III von Neumann algebras, London Math. Soc. Lecture Note Series31, Cambridge, 1978. Zbl0403.46049
  26. [26] Wasserman, S., Injective W*-algebras, Math. Proc. Cambridge Phil. Soc.82 (1977) 39-47. Zbl0372.46065
  27. [27] Zimmer, R.J., On the cohomology of ergodic actions of semi-simple Lie groups and discrete subgroups, Amer. J. Math.103 (1981) 937-950. Zbl0475.22011MR630773
  28. [28] Zimmer, R.J., Amenable ergodic group actions and an application to Poisson boundaries of random walks, J. Funct. Anal.27 (1978) 350-372. Zbl0391.28011MR473096

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.