Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

 
 

 

Group duality and isomorphisms of Fourier and Fourier-Stieltjes algebras from a $W^*$-algebra point of view


Author: Martin E. Walter
Journal: Bull. Amer. Math. Soc. 76 (1970), 1321-1325
MSC (1970): Primary 22D25, 22D35; Secondary 22D10, 4300, 43A10
DOI: https://doi.org/10.1090/S0002-9904-1970-12659-3
MathSciNet review: 0284823
Full-text PDF

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • 1. J. Dixmier, Les algèbres d'opérateurs dans l'espace hilbertien (Algèbres de von Neumann), Cahiers Scientifiques, fasc. 25, Gauthier-Villars, Paris, 1957. MR 20 #1234. MR 94722
  • 2. J. Dixmier, Les C*-algèbres et leurs représentations, Cahiers Scientifiques, fasc. 29, Gauthier-Villars, Paris, 1964. MR 30 #1404. MR 171173
  • 3. J. Ernest, A new group algebra for locally compact groups, Amer. J. Math. 86 (1964), 467-492. MR 29 #4838. MR 167566
  • 4. J. Ernest, Hopf-von Neumann algebras, Proc. Conference Functional Analysis (Irvine, Calif., 1966) Academic Press, New York, 1967, pp. 195-215. MR 36 #6956. MR 223909
  • 5. P. Eymard, L'algèbra de Fourier d'un groupe localement compact, Bull. Soc. Math. France 92 (1964), 181-236. MR 37 #4208. MR 228628
  • 6. R. V. Kadison, Isometries of operator algebras, Ann. of Math. (2) 54 (1951), 325-338. MR 13, 256. MR 43392
  • 7. Y. Misonou, On the direct product of W*-algebras, Tôhoku Math. J. 6 (1954), 189-204. MR 16, 1125. MR 70064
  • 8. C. E. Rickart, General theory of Banach algebras, University Series in Higher Math., Van Nostrand, Princeton, N. J., 1960. MR 22 #5903. MR 115101
  • 9. K. Saitô, On a duality for locally compact groups, Tôhoku Math. J. (2) 20 (1968), 355-367. MR 39 #357. MR 238997
  • 10. W. F. Stinespring, Integration theorems for gages and duality for unimodular groups, Trans. Amer. Math. Soc. 90 (1959), 15-56. MR 21 #1547. MR 102761
  • 11. Michio Suzuki, Structure of a group and the structure of its lattice of subgroups, Ergebnisse Math., Heft 10, Springer-Verlag, Berlin, 1956. MR 18, 715. MR 83487
  • 12. M. Takesaki, A characterization of group algebras as a converse of Tannaka-Stinespring-Tatsuuma duality theorem, Amer. J. Math. 91 (1969), 529-564. MR 39 #5752. MR 244437
  • 13. N. Tatsuuma, A duality theorem for locally compact groups, J. Math. Kyoto Univ. 6 (1967), 187-293. MR 36 #313. MR 217222
  • 14. M. E. Walter, W*-algebras and non-abelian harmonic analysis, (to appear).
  • 15. J. G. Wendel, Left centralizers and isomorphisms of group algebras, Pacific J. Math. 2 (1952), 251-261. MR 14, 246. MR 49911

Similar Articles

Retrieve articles in Bulletin of the American Mathematical Society with MSC (1970): 22D25, 22D35, 22D10, 4300, 43A10

Retrieve articles in all journals with MSC (1970): 22D25, 22D35, 22D10, 4300, 43A10


Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1970-12659-3

American Mathematical Society