×

zbMATH — the first resource for mathematics

The structure of imprimitivity algebras. (English) Zbl 0422.46048

MSC:
46L05 General theory of \(C^*\)-algebras
46M05 Tensor products in functional analysis
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Bagchi, S; Mathew, J; Nadkarni, M, On systems of imprimitivity on locally compact abelian groups with dense actions, Acta math., 133, 287-304, (1974) · Zbl 0325.22003
[2] Bourbaki, N; Bourbaki, N, Intégration, (1963), Hermann Paris, Chaps. 7 and 8 · Zbl 0156.03204
[3] Brown, L; Green, P; Rieffel, M, Stable isomorphism and strong Morita equivalence of C∗-algebras, Pacific J. math., 71, 349-363, (1977) · Zbl 0362.46043
[4] Dixmier, J, Bicontinuité dans la méthode du petit groupe de MacKey, Bull. sci. math., 97, 233-240, (1973) · Zbl 0274.22008
[5] Glimm, J, Locally compact transformation groups, Trans. amer. math. soc., 101, 124-138, (1961) · Zbl 0119.10802
[6] Green, P, The local structure of twisted covariance algebras, Acta math., 140, 191-250, (1978) · Zbl 0407.46053
[7] \scS. Imai and H. Takai, On a duality for C∗-crossed products by a locally compact group, preprint. · Zbl 0385.46038
[8] Kadison, R; Singer, I, Some remarks on representations of connected groups, (), 419-423 · Zbl 0046.25202
[9] Mackey, G, Imprimitivity for representations of locally compact groups, I, (), 537-545 · Zbl 0035.06901
[10] Mackey, G, Unitary representations of group extensions, I, Acta math., 99, 265-311, (1958) · Zbl 0082.11301
[11] Mackey, G, Ergodic theory and virtual groups, Math. ann., 166, 187-207, (1966) · Zbl 0178.38802
[12] Moore, C, Groups with finite dimensional irreducible representations, Trans. amer. math. soc., 166, 401-410, (1972) · Zbl 0236.22010
[13] Moore, C; Rosenberg, J, Groups with T1 primitive ideal spaces, J. functional analysis, 22, 204-224, (1976) · Zbl 0328.22014
[14] Pukanszky, L, Characters of connected Lie groups, Acta math., 133, 81-137, (1974) · Zbl 0323.22011
[15] Rieffel, M, Induced representations of C^∗-algebras, Advances in math., 13, 176-257, (1974) · Zbl 0284.46040
[16] Rieffel, M, Strong Morita equivalence of certain transformation group C∗-algebras, Math. ann., 222, 7-22, (1976) · Zbl 0328.22013
[17] \scM. Rieffel, Unitary representations of group extensions: an algebraic approach to the theory of Mackey and Blattner, Advances in Math., to appear. · Zbl 0449.22002
[18] Sakai, S, C∗-algebras and W∗-algebras, (1971), Springer-Verlag Berlin/New York · Zbl 0219.46042
[19] Takai, H, On a duality for crossed products of C∗-algebras, J. functional analysis, 19, 23-39, (1975) · Zbl 0295.46088
[20] Takesaki, M, Covariant representations of C∗-algebras and their locally compact automorphism groups, Acta math., 119, 273-302, (1967) · Zbl 0163.36802
[21] Takesaki, M, Duality for crossed products and the structure of von Neumann algebras of type III, Acta math., 131, 249-310, (1973) · Zbl 0268.46058
[22] Varadarajan, V, ()
[23] Zimmer, R, Orbit spaces of unitary representations, ergodic theory, and simple Lie groups, Ann. of math., 106, 573-588, (1977) · Zbl 0393.22006
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.