no. 1
Simple quotients of group C * -algebras for two step nilpotent groups and connected Lie groups
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 16 (1983) no. 1, pp. 151-172. 
@article{ASENS_1983_4_16_1_151_0,
     author = {Poguntke, Detlev},
     title = {Simple quotients of group $C^\ast $-algebras for two step nilpotent groups and connected {Lie} groups},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {151--172},
     publisher = {Elsevier},
     volume = {Ser. 4, 16},
     number = {1},
     year = {1983},
     doi = {10.24033/asens.1444},
     mrnumber = {85j:22011},
     zbl = {0523.22007},
     language = {en},
     url = {http://archive.numdam.org/articles/10.24033/asens.1444/}
}
TY  - JOUR
AU  - Poguntke, Detlev
TI  - Simple quotients of group $C^\ast $-algebras for two step nilpotent groups and connected Lie groups
JO  - Annales scientifiques de l'École Normale Supérieure
PY  - 1983
SP  - 151
EP  - 172
VL  - 16
IS  - 1
PB  - Elsevier
UR  - http://archive.numdam.org/articles/10.24033/asens.1444/
DO  - 10.24033/asens.1444
LA  - en
ID  - ASENS_1983_4_16_1_151_0
ER  - 
%0 Journal Article
%A Poguntke, Detlev
%T Simple quotients of group $C^\ast $-algebras for two step nilpotent groups and connected Lie groups
%J Annales scientifiques de l'École Normale Supérieure
%D 1983
%P 151-172
%V 16
%N 1
%I Elsevier
%U http://archive.numdam.org/articles/10.24033/asens.1444/
%R 10.24033/asens.1444
%G en
%F ASENS_1983_4_16_1_151_0
Poguntke, Detlev. Simple quotients of group $C^\ast $-algebras for two step nilpotent groups and connected Lie groups. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 16 (1983) no. 1, pp. 151-172. doi : 10.24033/asens.1444. http://archive.numdam.org/articles/10.24033/asens.1444/

[1] L. G. Brown, P. Green et M. A. Rieffel, Stable Isomorphism and Strong Morita Equivalence of C*-Algebras (Pacific J. Math., Vol. 71, 1977, pp. 349-363). | MR | Zbl

[2] J. Dixmier, Les C*-algèbres et leurs représentations, Gauthier-Villars, Paris, 1969. | MR | Zbl

[3] J. Dixmier, Ideal Center of a C*-Algebra (Duke Math. J., Vol. 35, 1968, pp. 375-382). | MR | Zbl

[4] J. Dixmier, Sur la représentation régulière d'un groupe localement compact connexe (Ann. Scient. Éc. Norm. Sup., Vol. 2, 1969, pp. 423-436). | Numdam | MR | Zbl

[5] G. A. Elliott, On the K-theory of the C*-algebra Generated by a Projective Representation of a Torsion-Free Discrete Abelian Group, preprint, Copenhagen, 1981.

[6] E. C. Gootman et J. Rosenberg, The Structure of Crossed Product C*-Algebras : A Proof of the Generalized Effros-Hahn Conjecture (Invent. math., Vol. 52, 1979, pp. 283-298). | MR | Zbl

[7] P. Green, The Local Structure of Twisted Covariance Algebras (Acta Math., Vol. 140, 1978, pp. 191-250). | MR | Zbl

[8] P. Green, The Structure of Imprimitivity Algebras (J. Funct. Anal., Vol. 36, 1980, pp. 88-104). | MR | Zbl

[9] G. Hochschild, The Structure of Lie Groups, Holden-Day, San Francisco, 1965. | MR | Zbl

[10] R. Howe, The Fourier Transform for Nilpotent Locally Compact Groups, (Pacific J. Math., Vol. 73, 1977, pp. 307-327). | MR | Zbl

[11] E. Kaniuth, On Primary Ideals in Group Algebras, to appear in Monatsh. Math. | Zbl

[12] A. Kleppner, Multipliers on Abelian Groups (Math. Ann., Vol. 158, 1965, pp. 11-34). | MR | Zbl

[13] M. Leinert, Beitrag zur Theorie der verallgemeinerten L1-Algebren (Arch. Math., Vol. 21, 1970, pp. 594-600). | MR | Zbl

[14] G. W. Mackey, Unitary Representations of Group Extensions (Acta Math., Vol. 99, 1958, pp. 265-311). | MR | Zbl

[15] C. C. Moore et J. Rosenberg, Groups with T1 Primitive Ideal Spaces (J. Funct. anal., Vol. 22, 1976, pp. 204-224). | MR | Zbl

[16] L. Pukanszky, Unitary Representations of Solvable Lie Groups (Ann. Scient. Éc. Norm. Sup., Vol. 4, 1971, pp. 457-608). | Numdam | MR | Zbl

[17] L. Pukanszky, Action of Algebraic Groups of Automorphisms on the Dual of a Class of Type I Groups (Ann. Scient. Éc. Norm. Sup., Vol. 5, 1972, pp. 379-396). | Numdam | MR | Zbl

[18] L. Pukanszky, Characters of Connected Lie Groups (Acta Math., Vol. 133, 1974, pp. 81-137). | MR | Zbl

[19] L. Pukanszky, Unitary Representations of Lie Groups with Cocompact Radical and Applications (Trans. Amer. Math. Soc., Vol. 236, 1978, pp. 1-49). | MR | Zbl

[20] M. A. Rieffel, C*-Algebras Associated with Irrational Rotations (Pacific J. Math., Vol. 93, 1981, pp. 415-429). | MR | Zbl

[21] I. Schur, Untersuchungen über die Darstellung der endlichen Gruppen durch gebrochene lineare Substitutionen (J. Reine Angew. Math., Vol. 132, 1906, pp. 85-137). | JFM

Cité par Sources :