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References
Arsac, G.: Sur l'espace de Banach engendré par les coefficients d'une représentation unitaire. Publ. Dép. Math., Lyon13, 1–101 (1976)
Barnes, B.A.: A note on separating families of representations. Proc. Am. Math. Soc.87, 95–98 (1983)
Bekka, M.B.: A characterization of locally compact amenable groups by means of tensor products. Arch. Math.52, 424–427 (1989)
Boidol, J.: A Galois-correspondence for general locally compact groups. Pac. J. Math.120, 289–293 (1985)
Dixmier, J.:C *-algebras. Amsterdam: North-Holland 1977
Dunkl, C.F., Ramirez, D.E.:C *-algebras generated by Fourier-Stieltjes transforms. Trans. Am. Math. Soc.164, 435–441 (1972)
Eymard, P.: L'algèbre de Fourier d'un groupe localement compact. Bull. Soc. Math. Fr.92, 181–236 (1964)
Fell, J.M.G.: Weak containment and induced representations of groups, II. Trans. Am. Math. Soc.110, 424–447 (1964)
Gelfand, I.M., Naimark, M.A.: Unitary representations of the classical groups. Tr. Mat. Inst. Sketlova36 (1950)
Granirer, E., Leinert, M.: On some topologies which coincide on the unit sphere of the Fourier-Stieltjes algebraB(G) and of the measure algebraM(G). Rocky Mt. J. Math.11, 459–472 (1981)
Hauenschild, W.: Subhypergroups and normal subgroups. Math. Ann.256, 1–18 (1981)
Helgason, S.: Lacunary Fourier series on noncommutative groups. Proc. Am. Math. Soc.9, 782–790 (1958)
Kaniuth, E.: Weak containment and tensor products of group representations, II. Math. Ann.270, 1–15 (1985)
Pier, J.P.: Amenable locally compact groups. New York: Wiley 1984
Repka, J.: A Stone-Weierstrass theorem for group representations. Int. J. Math. Math. Sci1, 235–244 (1978)
Takesaki, M., Tatsuuma, N.: Duality and subgroups. Ann. Math.93, 344–364 (1971)
Tatsuuma, N.: Duality for normal subgroup. Algèbres d'operateurs et leurs applications en physique mathématique. In: Proc. Colloq. Marseille 1977. (Colloq. Int. CNRS, vol. 274, pp. 373–386) Paris: CNRS 1979
Walter, M.E.:W *-algebras and non-abelian harmonic analysis. J. Funct. Anal.11, 17–38 (1972)
Zimmer, R.I.: Ergodic theory and semisimple groups. Boston: Birkhäuser 1984
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Bekka, M.E.B., Lau, A.T. & Schlichting, G. On invariant subalgebras of the Fourier-Stieltjes algebra of a locally compact group. Math. Ann. 294, 513–522 (1992). https://doi.org/10.1007/BF01934339
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DOI: https://doi.org/10.1007/BF01934339