@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://www.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://www.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://www.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://www.numdam.org/articles/10.24033/asens.1444/
[1] Stable Isomorphism and Strong Morita Equivalence of C*-Algebras (Pacific J. Math., Vol. 71, 1977, pp. 349-363). | MR | Zbl
, et ,[2] Les C*-algèbres et leurs représentations, Gauthier-Villars, Paris, 1969. | MR | Zbl
,[3] Ideal Center of a C*-Algebra (Duke Math. J., Vol. 35, 1968, pp. 375-382). | MR | Zbl
,[4] 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] On the K-theory of the C*-algebra Generated by a Projective Representation of a Torsion-Free Discrete Abelian Group, preprint, Copenhagen, 1981.
,[6] 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
et ,[7] The Local Structure of Twisted Covariance Algebras (Acta Math., Vol. 140, 1978, pp. 191-250). | MR | Zbl
,[8] The Structure of Imprimitivity Algebras (J. Funct. Anal., Vol. 36, 1980, pp. 88-104). | MR | Zbl
,[9] The Structure of Lie Groups, Holden-Day, San Francisco, 1965. | MR | Zbl
,[10] The Fourier Transform for Nilpotent Locally Compact Groups, (Pacific J. Math., Vol. 73, 1977, pp. 307-327). | MR | Zbl
,[11] On Primary Ideals in Group Algebras, to appear in Monatsh. Math. | Zbl
,[12] Multipliers on Abelian Groups (Math. Ann., Vol. 158, 1965, pp. 11-34). | MR | Zbl
,[13] Beitrag zur Theorie der verallgemeinerten L1-Algebren (Arch. Math., Vol. 21, 1970, pp. 594-600). | MR | Zbl
,[14] Unitary Representations of Group Extensions (Acta Math., Vol. 99, 1958, pp. 265-311). | MR | Zbl
,[15] Groups with T1 Primitive Ideal Spaces (J. Funct. anal., Vol. 22, 1976, pp. 204-224). | MR | Zbl
et ,[16] Unitary Representations of Solvable Lie Groups (Ann. Scient. Éc. Norm. Sup., Vol. 4, 1971, pp. 457-608). | Numdam | MR | Zbl
,[17] 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] Characters of Connected Lie Groups (Acta Math., Vol. 133, 1974, pp. 81-137). | MR | Zbl
,[19] Unitary Representations of Lie Groups with Cocompact Radical and Applications (Trans. Amer. Math. Soc., Vol. 236, 1978, pp. 1-49). | MR | Zbl
,[20] C*-Algebras Associated with Irrational Rotations (Pacific J. Math., Vol. 93, 1981, pp. 415-429). | MR | Zbl
,[21] Untersuchungen über die Darstellung der endlichen Gruppen durch gebrochene lineare Substitutionen (J. Reine Angew. Math., Vol. 132, 1906, pp. 85-137). | JFM
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