Irreducible representations of free products of infinite groups

Wojciech Młotkowski

Colloquium Mathematicae (1996)

  • Volume: 69, Issue: 2, page 193-211
  • ISSN: 0010-1354

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Młotkowski, Wojciech. "Irreducible representations of free products of infinite groups." Colloquium Mathematicae 69.2 (1996): 193-211. <http://eudml.org/doc/210336>.

@article{Młotkowski1996,
author = {Młotkowski, Wojciech},
journal = {Colloquium Mathematicae},
keywords = {free product; unital *-semigroup; *-representation; Hilbert space; unitary representation; uniformly bounded representations},
language = {eng},
number = {2},
pages = {193-211},
title = {Irreducible representations of free products of infinite groups},
url = {http://eudml.org/doc/210336},
volume = {69},
year = {1996},
}

TY - JOUR
AU - Młotkowski, Wojciech
TI - Irreducible representations of free products of infinite groups
JO - Colloquium Mathematicae
PY - 1996
VL - 69
IS - 2
SP - 193
EP - 211
LA - eng
KW - free product; unital *-semigroup; *-representation; Hilbert space; unitary representation; uniformly bounded representations
UR - http://eudml.org/doc/210336
ER -

References

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  2. [B1] M. Bożejko, Uniformly bounded representations of free groups, J. Reine Angew. Math. 377 (1987), 170-186. Zbl0604.43004
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  5. [CS] D. I. Cartwright and P. M. Soardi, Harmonic analysis on the free product of two cyclic groups, J. Funct. Anal. 65 (1986), 147-171. Zbl0619.43003
  6. [Di] J. Dixmier, C*-algebras, North-Holland, Amsterdam, 1977. 
  7. [FP1] A. Figà-Talamanca and M. A. Picardello, Spherical functions and har- monic analysis on free groups, J. Funct. Anal. 47 (1982), 281-304. Zbl0489.43008
  8. [FP2] A. Figà-Talamanca and M. A. Picardello, Harmonic Analysis on Free Groups, Lecture Notes in Pure and Appl. Math. 87, Dekker, New York, 1983. Zbl0536.43001
  9. [IP] A. Iozzi and M. A. Picardello, Spherical functions on symmetric graphs, in: Harmonic Analysis, Proc. Cortona 1982, Lecture Notes in Math. 992, Springer, 1983, 344-387. 
  10. [M1] W. Młotkowski, Positive definite radial functions on free product of groups, Boll. Un. Mat. Ital. (7) 2-B (1988), 53-66. Zbl0658.43004
  11. [M2] W. Młotkowski, Positive definite functions on free product of groups, ibid. (7) 3-B (1989), 343-355. 
  12. [M3] W. Młotkowski, Type-dependent positive definite functions on free products of groups, Colloq. Math. 64 (1993), 41-54. Zbl0832.43013
  13. [NF] B. Sz.-Nagy and C. Foiaş, Harmonic Analysis of Operators on Hilbert Space, North-Holland, 1970. 
  14. [PS] T. Pytlik and R. Szwarc, An analytic family of uniformly bounded representations of free groups, Acta Math. 157 (1986), 286-309. Zbl0681.43011
  15. [Se] J.-P. Serre, Trees, Springer, Berlin, 1980. 
  16. [Sz1] R. Szwarc, Matrix coefficients of irreducible representations of free products of groups, Studia Math. 94 (1989), 179-185. Zbl0838.43009
  17. [Sz2] R. Szwarc, Groups acting on trees and approximation properties of the Fourier algebra, J. Funct. Anal. 95 (1991), 320-343. Zbl0744.22005
  18. [Va] A. Valette, Cocycles d'arbres et représentations uniformément bornées, C. R. Acad. Sci. Paris Sér. I 310 (1990), 703-708. 
  19. [W1] J. Wysoczański, Herz-Schur multipliers and uniformly bounded representations of free products of discrete groups, Ph.D. Thesis, Uniwersytet Wrocławski, 1990. 
  20. [W2] J. Wysoczański, An analytic family of uniformly bounded representations of a free product of discrete groups, Pacific J. Math. 157 (1993), 373-387. Zbl0742.30038

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