Acta Mathematica

, Volume 157, Issue 1, pp 287–309 | Cite as

An analytic family of uniformly bounded representations of free groups

  • T. Pytlik
  • R. Szwarc


Free Group Analytic Family 
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  1. [1]
    Bożejko, M., Remarks on Herz-Schur multipliers on free groups.Math. Ann., 258 (1981).Google Scholar
  2. [2]
    Bożejko, M. & Fendler, G., Herz-Schur multipliers and completely bounded multipliers of the Fourier algebra of a locally compact group. To appear inBoll. Un. Mat. Ital.Google Scholar
  3. [3]
    de Canniere, J. & Haagerup, U., Multipliers of the Fourier algebras of some simple Lie groups and their discrete subgroups. Preprint.Google Scholar
  4. [4]
    Cartier, P., Harmonic analysis on trees.Proc. Sympos. Pure Math., Amer. Math. Soc. 26 (1972), 419–424.Google Scholar
  5. [5]
    Connes, A., The Chern character inK-homology. Preprint.Google Scholar
  6. [6]
    Cuntz, J.,K-theoretic amenability for discrete groups. Preprint.Google Scholar
  7. [7]
    Figà-Talamanca, A. &Picardello, M. A., Les multiplicateurs deA(G) qui ne sont pas dansB(G).C. R. Acad. Sci. Paris Ser. A, 277 (1973), 117–119.MathSciNetGoogle Scholar
  8. [8]
    —, Spherical functions and harmonic analysis on free groups.J. Funct. Anal., 47 (1982), 281–304.CrossRefMathSciNetGoogle Scholar
  9. [9]
    Figà-Talamanca, A. & Picardello, M. A., Harmonic analysis on free groups. Preprint.Google Scholar
  10. [10]
    Haagerup, U., An example of a non-nuclearC *-algebra which has the metric approximation property.Invent. Math., 50 (1979), 279–293.CrossRefzbMATHMathSciNetGoogle Scholar
  11. [11]
    Leinert, M., Abschätzung von Normen gewisser Matrizen und eine Anwendung.Math. Ann., 240 (1979), 13–19.CrossRefzbMATHMathSciNetGoogle Scholar
  12. [12]
    Mantero, A. M. &Zappa, A., The Poisson transform on free groups and uniformly bounded representations.J. Funct. Anal., 51 (1983), 372–400.CrossRefMathSciNetGoogle Scholar
  13. [13]
    Nebbia, C., Multipliers and asymtotic behaviour of the Fourier algebra of non-amenable groups.Proc. Amer. Math. Soc., 84 (1982), 549–554.CrossRefzbMATHMathSciNetGoogle Scholar
  14. [14]
    Pimsner, M. &Voiculescu, D.,K-groups of reduced crossed products by free groups.J. Operator Theory, 8 (1982), 131–156.MathSciNetGoogle Scholar
  15. [15]
    Pytlik, T., Radial functions on free groups and a decomposition of the regular representation into irreducible components.J. Reine Angew. Math., 326 (1981), 124–135.zbMATHMathSciNetGoogle Scholar
  16. [16]
    Radjavi, H. & Rosenthal, P.,Invariant subspaces. Ergebnisse 77, Springer 1973.Google Scholar

Copyright information

© Almqvist & Wiksell 1986

Authors and Affiliations

  • T. Pytlik
    • 1
  • R. Szwarc
    • 1
  1. 1.University of WrocławWrocławPoland

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