Mathematische Annalen

, Volume 293, Issue 1, pp 495–508 | Cite as

Kazhdan constants and the dual space topology

  • Eberhard Kaniuth
  • Keith F. Taylor
Article

Mathematics Subject Classification (1991)

22D10 22D15 22D30 

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References

  1. 1.
    Bekka, M.B., Kaniuth, E.: Irreducible representations that cannot be Hausdorff separated from the identity representation. J. Reine Angew. Math.385, 203–220 (1988)Google Scholar
  2. 2.
    Bredon, G.E.: Introduction to compact transformation groups. New York London: Academic Press 1972Google Scholar
  3. 3.
    Burger, M.: Kazhdan constants for SL(3,ℤ) J. Reine Angew. Math.413, 36–67 (1991)Google Scholar
  4. 4.
    Carey, A.L., Kaniuth, E., Moran, W.: The Pompeiu problem for groups. Math. Proc. Camb. Philos. Soc.109, 45–58 (1991)Google Scholar
  5. 5.
    Dixmier, J.: Les C*-algèbres et leurs représentations. Paris: Gaúthier-Villars 1964Google Scholar
  6. 6.
    Fell, J.M.G.: Weak containment and induced representations, II. Trans. Am. Math. Soc.110, 424–447 (1964)Google Scholar
  7. 7.
    Fell, J.M.G., Doran, R.S.: Representations of *-algebras, locally compact groups, and Banach *-algebraic bundles, vols. 1 and 2. Boston, MA: Academic Press 1988Google Scholar
  8. 8.
    Glimm, J.: Locally compact transformation groups. Trans. Am. Math. Soc.101, 124–138 (1961)Google Scholar
  9. 9.
    Grosser, S., Moskowitz, M.: Compactness conditions in topological groups. J. Reine Angew. Math.246, 1–40 (1971)Google Scholar
  10. 10.
    de la Harpe, P., Robertson, G., Valette, A.: On the structure of the sum of the generators of a finitely generated group. Isr., J. Math. to appearGoogle Scholar
  11. 11.
    de la Harpe, P., Valette, A.: La propriété (T) de Kazhdan pour le groupes localement compacts. (Asterisque vol. 175) Paris: Soc. Math. J., 1989Google Scholar
  12. 12.
    Kaniuth, E.: Primitive ideal spaces of groups with relatively compact conjugacy classes. Arch. Math.32, 16–24 (1979)Google Scholar
  13. 13.
    Kesten, H.: Symmetric random walks on groups. Trans. Am. Math. Soc.92, 336–354 (1959)Google Scholar
  14. 14.
    Lipsman, R.L.: The dual topology for the principal and discrete series on semisimple groups. Trans. Am. Math. Soc.152, 399–417 (1970)Google Scholar
  15. 15.
    Mackey, G.W.: Induced representations of locally compact groups I. Ann. Math.55, 101–139 (1952)Google Scholar
  16. 16.
    Montgomery, D., Zippin, L.: Topological transformation groups. New York: Interscience 1955Google Scholar
  17. 17.
    Moore, C.C.: Groups with finite dimensional irreducible representations. Trans. Am. Math. Soc.166, 401–410 (1972)Google Scholar
  18. 18.
    Paterson, A.L.T.: Amenability. (Math. Surv. Monogr., vol. 29) Providence, RI: Am. Math. Soc. 1988Google Scholar
  19. 19.
    Powers, R.T.: Simplicity of theC *-algebra associated with the free groups on two generators. Duke Math. J.42, 151–156 (1975)Google Scholar
  20. 20.
    Skudlarek, H.L.: Die unzerlegbaren Charaktere einiger diskreter Gruppen. Math. Ann.223, 213–231 (1976)Google Scholar
  21. 21.
    Thoma, E.: Über unitäre Darstellungen abzählbarer diskreter Gruppen. Math. Ann.153, 111–138 (1964)Google Scholar
  22. 22.
    Wallach, N.: Cyclic vectors and irreducibility for principal series representations. Trans. Am. Math. Soc.158, 107–113 (1971)Google Scholar
  23. 23.
    Warner, G.: Harmonic analysis on semi-simple Lie groups, I, II. Berlin Heidelberg New York: Springer 1972Google Scholar
  24. 24.
    Yoshizawa, H.: Some remarks on unitary representations of the free group. Osaka Math. J.3, 55–63 (1951)Google Scholar

Copyright information

© Springer-Verlag 1992

Authors and Affiliations

  • Eberhard Kaniuth
    • 1
  • Keith F. Taylor
    • 2
  1. 1.Fachbereich Mathematik/InformatikUniversität PaderbornPaderbornGermany
  2. 2.Department of MathematicsUniversity of SaskatchewanSaskatoonCanada

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