Complemented *-primitive ideals inL ¹-algebras of exponential lie groups and of motion groups

Alspach, D., Matheson, A.: Projections onto translation-invariant subspaces ofL ₁(ℝ). Trans. Am. Math. Soc.277 (2), 815–823 (1983)MATHCrossRefMathSciNetGoogle Scholar

Alspach, D., Matheson, A., Rosenblatt, J.: Projections onto translation-invariant subspaces ofL ₁ (G), J. Funct. Anal.59, 254–292 (1984)MATHCrossRefMathSciNetGoogle Scholar

Baggett, L., Taylor, K.: Riemann-Lebesgue subsets of ℝⁿ and representation which vanish at infinity, J. Funct. Anal.28, 168–181 (1978)MATHCrossRefMathSciNetGoogle Scholar

Bekka, M.B.: Primitive ideals with bounded approximate units inL ¹-algebras of exponential Lie groups. J. Aust. Math. Soc. Ser. A41, 411–420 (1986)MATHMathSciNetCrossRefGoogle Scholar

Bekka, M.B.: Complemented subspaces ofL ^∞ (G). Ideals ofL ¹ (G) and amenability. Preprint (1986)Google Scholar

Bernat, P., et al.: Représentations des groupes de Lie résolubles. Paris: Dunod 1972MATHGoogle Scholar

Boidol, J., et al.: Räume primitiver Ideale in Gruppenalgebren. Math. Ann.236, 1–13 (1978)MATHCrossRefMathSciNetGoogle Scholar

Boidol, J.: *-regularity of exponential Lie groups, Invent. Math.56, 231–238 (1980)MATHCrossRefMathSciNetGoogle Scholar

Felix, R.: When is a Kirillov orbit a linear variety? Proc. Am. Math. Soc.86, 151–152 (1982)MATHCrossRefMathSciNetGoogle Scholar

Fell, J.M.G.: Weak containment and induced representations II. Trans. Am. Math. Soc.110, 424–447 (1964)MATHCrossRefMathSciNetGoogle Scholar

Gilbert, J.E.: On projections ofL ^∞ (G) onto translation-invariant subsapces. Proc. London Math. Soc. (3)19, 69–88 (1969)MATHCrossRefMathSciNetGoogle Scholar

Grélaud, G.: Désintégration des représentations induites d'un groupe de Lie résoluble exponentiel. C.R. Acad. Sci. Paris Série A,277, 327–330 (1973)MATHGoogle Scholar

Hauenschild, W., Ludwig, J.: The Injection and the Projection Theorem for spectral sets. Monatsh. Math.92, 167–177 (1981)MATHCrossRefMathSciNetGoogle Scholar

Howe, R., Moore, C.C.: Asymptotic properties of unitary representations. J. Funct. Anal.32, 72–96 (1979)MATHCrossRefMathSciNetGoogle Scholar

Liu, T.S., Rooij, A. van, Wang, J.K.: Projections and approximate identities for ideals in group algebras. Trans. Am. Math. Soc.175, 469–482 (1973)MATHCrossRefGoogle Scholar

Ludwig, J.: Good ideals in the group algebra of a nilpotent Lie group. Math. Z.161, 195–210 (1978)MATHCrossRefMathSciNetGoogle Scholar

Ludwig, J.: Irreducible representations of exponential solvable Lie groups and operators with smooth kernels. J. Reine Angew. Math.339, 1–26 (1983)MATHMathSciNetGoogle Scholar

Ludwig, J.: On the Hilbert-Schmidt semi-norms ofL ¹ of a nilpotent Lie group. Math. Ann.273, 383–395 (1986)MATHCrossRefMathSciNetGoogle Scholar

Mackey, G.W.: Induced representations of locally compact groups I. Ann. Math.55, 101–139 (1952)CrossRefMathSciNetGoogle Scholar

Moore, C.C., Wolf, J.: Square integrable representations of nilpotent Lie groups. Trans. Am. Math. Soc.185, 445–462 (1973)CrossRefMathSciNetGoogle Scholar

Reiter, H.: Classical Harmonic Analysis and locally compact groups. Oxford Math. Monographs 1968Google Scholar

Reiter, H.:L ¹-algebras and Segal algebras. (Lect. Notes Math., vol. 231). Berlin Heidelberg New York: Springer 1971MATHGoogle Scholar

Rider, D.: Central idempotent measures on SIN-groups. Duke Math. J.38, 181–189 (1971)CrossRefMathSciNetGoogle Scholar

Rosenberg, J.: Square integrable factor representations of locally compact groups. Trans. Am. Math. Soc.237, 1–33 (1978)MATHCrossRefGoogle Scholar

Rosenthal, H.P.: Projections onto translation-invariant subspaces ofL ^p (G). Mem. Am. Math. Soc. No.63 (1966)Google Scholar

Schochetman, I.E.: Integral operators in the theory of induced Banach representations. Mem. Am. Math. Soc. no.207 (1978)Google Scholar