A generalized commutation relation for the regular representation

M. Takesaki

Bulletin de la Société Mathématique de France (1969)

  • Volume: 97, page 289-297
  • ISSN: 0037-9484

How to cite

top

Takesaki, M.. "A generalized commutation relation for the regular representation." Bulletin de la Société Mathématique de France 97 (1969): 289-297. <http://eudml.org/doc/87128>.

@article{Takesaki1969,
author = {Takesaki, M.},
journal = {Bulletin de la Société Mathématique de France},
keywords = {functional analysis},
language = {eng},
pages = {289-297},
publisher = {Société mathématique de France},
title = {A generalized commutation relation for the regular representation},
url = {http://eudml.org/doc/87128},
volume = {97},
year = {1969},
}

TY - JOUR
AU - Takesaki, M.
TI - A generalized commutation relation for the regular representation
JO - Bulletin de la Société Mathématique de France
PY - 1969
PB - Société mathématique de France
VL - 97
SP - 289
EP - 297
LA - eng
KW - functional analysis
UR - http://eudml.org/doc/87128
ER -

References

top
  1. [1] BOURBAKI (N.). - Intégration, chap. 7-8. - Paris, Hermann, 1963 (Act. scient. et ind., 1306 ; Bourbaki, 29). Zbl0156.03204
  2. [2] DIXMIER (J.). - Les algèbres d'opérateurs dans l'espace hilbertien. - Paris, Gauthier-Villars, 1957. Zbl0088.32304
  3. [3] DIXMIER (J.). - Les C*-algèbres et leurs représentations. - Paris, Gauthier-Villars, 1964 (Cahiers scientifiques, 29). Zbl0152.32902MR30 #1404
  4. [4] DIXMIER (J.). - Algèbres quasi-unitaires, Comment. Math. Helvet., t. 26, 1952, p. 275-322. Zbl0047.35601MR14,660b
  5. [5] DOPLICHER (S.), KASTLER (D.) and ROBINSON (D. W.). - Covariance algebras in field theory and statistical mechanics, Comm. Math. Phys., Berlin, t. 3, 1966, p. 1-28. Zbl0152.23803MR34 #4930
  6. [6] FELL (J. M. G.). - An extension of Mackey's method to representations of algebraic bundles (to appear). Zbl0194.44301
  7. [7] GLIMM (J.). - Families of induced representations, Pacific J. Math., t. 12, 1962, p. 885-911. Zbl0121.10303MR26 #3819
  8. [8] LOOMIS (L. H.). - Note on a theorem of Mackey, Duke Math. J., t. 19, 1952, p. 641-645. Zbl0047.35501MR14,352c
  9. [9] MACKEY (G. W.). - A theorem of Stone and von Neumann, Duke Math. J., t. 16, 1949, p. 313-326. Zbl0036.07703MR11,10b
  10. [10] MACKEY (G. W.). - Induced representations of locally compact groups, I, Annals of Math., Series 2, t. 55, 1952, p. 101-139. Zbl0046.11601MR13,434a
  11. [11] MACKEY (G. W.). - Unitary representations of group extensions, Acta Math., t. 99, 1958, p. 265-311. Zbl0082.11301MR20 #4789
  12. [12] MACKEY (G. W.). - Infinite-dimensional group representations, Bull. Amer. math. Soc., t. 69, 1963, p. 628-686. Zbl0136.11502MR27 #3745
  13. [13] NAKAMURA (M.) and UMEGAKI (H.). - Heisenberg's commutation relation and the Plancherel theorem, Proc. Japan Acad., t. 37, 1961, p. 239-242. Zbl0101.09404MR29 #3579
  14. [14] VON NEUMANN (J.). - Die Eindeutigkeit der Schrödingerschen Operatoren, Math. Annalen, t. 104, 1931, p. 570-578. Zbl0001.24703JFM57.1446.01
  15. [15] TAKESAKI (M.). - On some representations of C*-algebras, Tohoku math. J., t. 65, 1963, p. 79-95. Zbl0161.11003MR26 #6810
  16. [16] TAKESAKI (M.). - Covariant representations of C*-algebras and their locally compact automorphism groups, Acta Math., t. 119, 1967, p. 273-303. Zbl0163.36802MR37 #774
  17. [17] TAKESAKI (M.). - A characterization of group algebra as a converse of Tanneka-Stinespring-Tatsuuma duality theorem (to appear). 
  18. [18] TAKESAKI (M.). - A liminal crossed product of a uniformly hyperfinite C*-algebra by a compact abelian automorphism group (to appear). Zbl0229.46055
  19. [19] TURUMARU (T.). - Crossed product of operator algebras, Tohoku math. J., t. 10, 1958, p. 355-365. Zbl0087.31803MR21 #1550
  20. [20] ZELLER-MEIER (G.). - Produits croisés d'une C*-algèbre par un groupe d'automorphismes (to appear). 
  21. [21] ARAKI (H.). - A lattice of von Neumann algebras associated with the quantum theory of a free Bose field, J. math. Phys., t. 4, 1963, p. 1343-1362. Zbl0132.43805MR28 #1889

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.