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Group representations which vanish at infinity. (English) Zbl 0442.22004

MSC:
22D15 Group algebras of locally compact groups
22D12 Other representations of locally compact groups
43A70 Analysis on specific locally compact and other abelian groups
Citations:
Zbl 0318.43005
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References:
[1] Arsac, G.: Sur un espace fonctionnel associé à une représentation unitaire d’un groupe localement compact. C. R. Acad. Sci. Paris273, 298-300 (1971) · Zbl 0221.43008
[2] Baggett, L., Taylor, K.: Riemann-Lebesgue subsets of ? n and representations which vanish at infinity. J. Functional Analysis28, 168-181 (1978) · Zbl 0383.22010
[3] Baggett, L., Taylor, K.: A sufficient condition for the complete reducibility of the regular representation. To appear in J. Functional Analysis · Zbl 0425.22007
[4] Baggett, L., Taylor, K.: Groups with completely reducible regular representations. Proc. Amer. Math. Soc.72, 593-600 (1978) · Zbl 0403.22007
[5] Baggett, L., Taylor, K.: Asymptotic behaviour of induced representations. To appear · Zbl 0443.22007
[6] Dixmier, J.: LesC*-algèbres et leurs représentations, 2e ed. Paris: Gauthier-Villars 1969 · Zbl 0174.18601
[7] Figà-Talamanca, A.: Positive definite functions which vanish at infinity. Pacific J. Math.69, 355-363 (1977) · Zbl 0309.43015
[8] Howe, R., Moore, C.: Asymtotic properties of unitary representations. To appear in J. Functional Analysis
[9] Iwasawa, K.: Topological groups with invariant compact neighbourhoods of the identity. Ann. of Math.54, 345-348 (1951) · Zbl 0044.01903
[10] Kaniuth, E.: Die Struktur der regulären Darstellung lokalkompakter Gruppen mit invarianter Umgebungsbasis der Eins. Math. Ann.194, 225-248 (1971) · Zbl 0217.36902
[11] Moore, C.: Groups with finite dimensional irreducible representations. Trans. Am. Math. Soc.166, 401-410 (1972) · Zbl 0236.22010
[12] Robertson, L.: A note on the structure of Moore groups. Bull. Am. Math. Soc.75, 594-598 (1969) · Zbl 0202.02901
[13] Sakai, S.:C*-algebras andW*-algebras. Berlin, Heidelberg, New York: Springer 1971 · Zbl 0219.46042
[14] Smith, M.: Group algebras. J. Algebra18, 477-499 (1971) · Zbl 0219.20002
[15] Smith, M.: Regular representation of discrete groups. J. Functional Analysis11, 401-406 (1972) · Zbl 0244.43004
[16] Smith, M.: Regular representations of unimodular groups. Math. Ann.203, 183-185 (1973) · Zbl 0255.22013
[17] Taylor, K.: The type structure of the regular representation of a locally compact group. Math. Ann.222, 211-224 (1976) · Zbl 0324.43009
[18] Wilcox, T.W.: A note on groups with relatively compact conjugacy classes. Proc. Am. Math. Soc.42, 326-329 (1974) · Zbl 0279.22005
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