Group duality and isomorphisms of Fourier and Fourier-Stieltjes algebras from a $W^*$-algebra point of view
Martin E. Walter
Source: Bull. Amer. Math. Soc. Volume 76, Number 6
(1970), 1321-1325.
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Permanent link to this document: http://projecteuclid.org/euclid.bams/1183532415
Mathematical Reviews number (MathSciNet): MR0284823
Zentralblatt MATH identifier: 0204.14801
References
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.
Zentralblatt MATH: 0088.32304
Mathematical Reviews (MathSciNet): MR94722
2. J. Dixmier, Les C*-algèbres et leurs représentations, Cahiers Scientifiques, fasc. 29, Gauthier-Villars, Paris, 1964. MR 30 #1404.
Zentralblatt MATH: 0174.18601
Mathematical Reviews (MathSciNet): MR171173
3. J. Ernest, A new group algebra for locally compact groups, Amer. J. Math. 86 (1964), 467-492. MR 29 #4838.
Zentralblatt MATH: 0211.15402
Mathematical Reviews (MathSciNet): MR167566
Digital Object Identifier: doi:10.2307/2373020
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.
Zentralblatt MATH: 0219.43004
Mathematical Reviews (MathSciNet): MR223909
5. P. Eymard, L'algèbra de Fourier d'un groupe localement compact, Bull. Soc. Math. France 92 (1964), 181-236. MR 37 #4208.
Zentralblatt MATH: 0169.46403
Mathematical Reviews (MathSciNet): MR228628
6. R. V. Kadison, Isometries of operator algebras, Ann. of Math. (2) 54 (1951), 325-338. MR 13, 256.
Zentralblatt MATH: 0045.06201
Mathematical Reviews (MathSciNet): MR43392
Digital Object Identifier: doi:10.2307/1969534
7. Y. Misonou, On the direct product of W*-algebras, Tôhoku Math. J. 6 (1954), 189-204. MR 16, 1125.
Zentralblatt MATH: 0057.34201
Mathematical Reviews (MathSciNet): MR70064
Digital Object Identifier: doi:10.2748/tmj/1178245179
Project Euclid: euclid.tmj/1178245179
8. C. E. Rickart, General theory of Banach algebras, University Series in Higher Math., Van Nostrand, Princeton, N. J., 1960. MR 22 #5903.
Zentralblatt MATH: 0095.09702
Mathematical Reviews (MathSciNet): MR115101
9. K. Saitô, On a duality for locally compact groups, Tôhoku Math. J. (2) 20 (1968), 355-367. MR 39 #357.
Zentralblatt MATH: 0185.39102
Mathematical Reviews (MathSciNet): MR238997
Digital Object Identifier: doi:10.2748/tmj/1178243142
Project Euclid: euclid.tmj/1178243142
10. W. F. Stinespring, Integration theorems for gages and duality for unimodular groups, Trans. Amer. Math. Soc. 90 (1959), 15-56. MR 21 #1547.
Zentralblatt MATH: 0085.10202
Mathematical Reviews (MathSciNet): MR102761
Digital Object Identifier: doi:10.1090/S0002-9947-1959-0102761-9
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.
Zentralblatt MATH: 0070.25406
Mathematical Reviews (MathSciNet): MR83487
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.
Zentralblatt MATH: 0182.18103
Mathematical Reviews (MathSciNet): MR244437
Digital Object Identifier: doi:10.2307/2373525
13. N. Tatsuuma, A duality theorem for locally compact groups, J. Math. Kyoto Univ. 6 (1967), 187-293. MR 36 #313.
Zentralblatt MATH: 0184.17402
Mathematical Reviews (MathSciNet): MR217222
Project Euclid: euclid.kjm/1250524377
14. M. E. Walter, W*-algebras and non-abelian harmonic analysis, (to appear).
Mathematical Reviews (MathSciNet): MR2620651
15. J. G. Wendel, Left centralizers and isomorphisms of group algebras, Pacific J. Math. 2 (1952), 251-261. MR 14, 246.
Zentralblatt MATH: 0049.35702
Mathematical Reviews (MathSciNet): MR49911
Project Euclid: euclid.pjm/1103051872
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