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Pukanszky, L.

The primitive ideal space of solvable Lie groups. (English) Zbl 0294.22009

Invent. Math. 22, 75-118 (1973).
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Cited in 18 Documents

MSC:

22E45 Representations of Lie and linear algebraic groups over real fields: analytic methods
22E25 Nilpotent and solvable Lie groups
22D10 Unitary representations of locally compact groups
22D35 Duality theorems for locally compact groups
22D25 \(C^*\)-algebras and \(W^*\)-algebras in relation to group representations
46K05 General theory of topological algebras with involution
46K99 Topological (rings and) algebras with an involution
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\textit{L. Pukanszky}, Invent. Math. 22, 75--118 (1973; Zbl 0294.22009)
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References:

[1] Auslander, L., Kostant, B.: Polarization and unitary representations of solvable groups. Inventiones math.14, 255-354 (1971) · Zbl 0233.22005
[2] Auslander, L., Moore, C.C.: Unitary representations of solvable Lie groups. Memoirs of the American Mathematical Society62 (1966) · Zbl 0204.14202
[3] Blattner, R.J.: Positive definite measures. Proc. Am. Math. Soc.14, 423-428 (1963) · Zbl 0135.36202
[4] Dixmier, J.: Sur les représentations unitaires des groupes de Lie nilpotents. Am. J. Math.83, 160-170 (1959) · Zbl 0121.33604
[5] Dixmier, J.: Sur lesC * algèbres. Bull. Soc. Math. France,88, 95-112 (1960) · Zbl 0124.32403
[6] Dixmier, J.: LesC * algèbres and leurs représentations. Paris: Gauthier-Villars 1964
[7] Dixmier, J.: Sur la représentation régulière d’un groupe localement compact connexe. Ann. Sci. Éc. Norm. Sup.2, 423-436 (1969) · Zbl 0186.46304
[8] Effross, E.G.: A decomposition theory for representations ofC * algebras. Trans. Am. Math. Soc.197, 83-106 (1963)
[9] Effross, E. G., Hahn, F.: Locally compact transformation groups andC * algebras. Memoirs of the American Mathematical Society75 (1967)
[10] Fell, J. M. G.: The dual spaces ofC * algebras. Trans. Am. Math. Soc.94, 365-403 (1960) · Zbl 0090.32803
[11] Fell, J. M. G.: Weak containment and induced representations of groups. Can. J. Math.14, 237-268 (1962) · Zbl 0138.07301
[12] Fell, J. M. G.: Weak containment and Kronecker products of group representations. Pacific J. Math.13, 503-510 (1963) · Zbl 0123.10102
[13] Glimm, J.: Locally compact transformation groups. Trans. Am. Math. Soc.101, 124-138 (1961) · Zbl 0119.10802
[14] Gootman, E. C.: Primitive ideals ofC * algebras associated with transformation groups. Trans. Am. Math. Soc.170, 97-108 (1972) · Zbl 0246.43005
[15] Greenleaf, F. P.: Invariant means of locally compact groups and their applications. New York: Van Nostrand 1969 · Zbl 0174.19001
[16] Kirillov, A. A.: Unitary representations of nilpotent Lie groups (russian). Usp. Mat. Nauk17, 57-110 (1962) · Zbl 0106.25001
[17] Mackey, G. W.: Induced representations of locally compact groups I, Ann. Math.55, 101-139 (1952) · Zbl 0046.11601
[18] Mackey, G. W.: Induced representations of locally compact groups II, Ann. Math.58, 193-221 (1953) · Zbl 0051.01901
[19] Mackey, G. W.: Unitary representations of group extensions I. Acta Math.99, 265-311 (1958) · Zbl 0082.11301
[20] Pukanszky, L.: On the characters and Plancherel formula of nilpotent groups. J. Funct. Anal.,1, 255-280 (1967) · Zbl 0165.48603
[21] Pukanszky, L.: On the unitary representations of exponential groups. J. Funct. Anal.2, 73-113 (1968) · Zbl 0172.18502
[22] Pukanszky, L.: Unitary representations of solvable Lie groups. Ann. Sci. Ec. Norm. Sup.4, 457-608 (1971) · Zbl 0238.22010
[23] Représentations des groupes de Lie résolubles. Paris: Dunod 1972
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