A new proof that nilpotent groups are CCR

Fell, J. M. G.

doi:10.1090/S0002-9939-1962-0133404-1

A new proof that nilpotent groups are CCR
HTML articles powered by AMS MathViewer

by J. M. G. Fell

Proc. Amer. Math. Soc. 13 (1962), 93-99

DOI: https://doi.org/10.1090/S0002-9939-1962-0133404-1

PDF | Request permission

References

J. Dixmier, L’application exponentielle dans les groupes de Lie résolubles, Bull. Soc. Math. France 85 (1957), 113–121 (French). MR 92930
Jacques Dixmier, Sur les représentations unitaires des groupes de Lie nilpotents. V, Bull. Soc. Math. France 87 (1959), 65–79 (French). MR 115097
J. M. G. Fell, The dual spaces of $C^{\ast }$-algebras, Trans. Amer. Math. Soc. 94 (1960), 365–403. MR 146681, DOI 10.1090/S0002-9947-1960-0146681-0
J. M. G. Fell, $C^{\ast }$-algebras with smooth dual, Illinois J. Math. 4 (1960), 221–230. MR 124754
J. M. G. Fell, Weak containment and induced representations of groups, Canadian J. Math. 14 (1962), 237–268. MR 150241, DOI 10.4153/CJM-1962-016-6
James Glimm, Type I $C^{\ast }$-algebras, Ann. of Math. (2) 73 (1961), 572–612. MR 124756, DOI 10.2307/1970319
A. A. Kirillov, On unitary representation of nilpotent Lie groups, Soviet Math. Dokl. 1 (1960), 108–110. MR 0133406
George W. Mackey, Induced representations of locally compact groups. I, Ann. of Math. (2) 55 (1952), 101–139. MR 44536, DOI 10.2307/1969423
George W. Mackey, Borel structure in groups and their duals, Trans. Amer. Math. Soc. 85 (1957), 134–165. MR 89999, DOI 10.1090/S0002-9947-1957-0089999-2
George W. Mackey, Unitary representations of group extensions. I, Acta Math. 99 (1958), 265–311. MR 98328, DOI 10.1007/BF02392428
Alex Rosenberg, The number of irreducible representations of simple rings with no minimal ideals, Amer. J. Math. 75 (1953), 523–530. MR 57477, DOI 10.2307/2372501
Osamu Takenouchi, Sur la facteur-représentation d’un groupe de Lie résoluble de type (E), Math. J. Okayama Univ. 7 (1957), 151–161 (French). MR 97464