Irreducible representations of free products of infinite groups
Młotkowski, Wojciech
Colloquium Mathematicae, Tome 70 (1996), p. 193-211 / Harvested from The Polish Digital Mathematics Library
Publié le : 1996-01-01
EUDML-ID : urn:eudml:doc:210336
@article{bwmeta1.element.bwnjournal-article-cmv69i2p193bwm,
     author = {Wojciech M\l otkowski},
     title = {Irreducible representations of free products of infinite groups},
     journal = {Colloquium Mathematicae},
     volume = {70},
     year = {1996},
     pages = {193-211},
     zbl = {0841.43015},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv69i2p193bwm}
}
Młotkowski, Wojciech. Irreducible representations of free products of infinite groups. Colloquium Mathematicae, Tome 70 (1996) pp. 193-211. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv69i2p193bwm/

[000] [BCR] C. Berg, J. P. R. Christensen and P. Ressel, Harmonic Analysis on Semigroups, Springer, 1984.

[001] [B1] M. Bożejko, Uniformly bounded representations of free groups, J. Reine Angew. Math. 377 (1987), 170-186. | Zbl 0604.43004

[002] [B2] M. Bożejko, Positive-definite kernels, length functions on groups and a noncommutative von Neumann inequality, Studia Math. 95 (1989), 107-118. | Zbl 0714.43007

[003] [BF] M. Bożejko and G. Fendler, Herz-Schur multipliers and completely bounded multipliers of the Fourier algebra of a locally compact group, Boll. Un. Mat. Ital. D (6) 3-A (1984), 297-302. | Zbl 0564.43004

[004] [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. | Zbl 0619.43003

[005] [Di] J. Dixmier, C*-algebras, North-Holland, Amsterdam, 1977.

[006] [FP1] A. Figà-Talamanca and M. A. Picardello, Spherical functions and har- monic analysis on free groups, J. Funct. Anal. 47 (1982), 281-304. | Zbl 0489.43008

[007] [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. | Zbl 0536.43001

[008] [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.

[009] [M1] W. Młotkowski, Positive definite radial functions on free product of groups, Boll. Un. Mat. Ital. (7) 2-B (1988), 53-66. | Zbl 0658.43004

[010] [M2] W. Młotkowski, Positive definite functions on free product of groups, ibid. (7) 3-B (1989), 343-355.

[011] [M3] W. Młotkowski, Type-dependent positive definite functions on free products of groups, Colloq. Math. 64 (1993), 41-54. | Zbl 0832.43013

[012] [NF] B. Sz.-Nagy and C. Foiaş, Harmonic Analysis of Operators on Hilbert Space, North-Holland, 1970.

[013] [PS] T. Pytlik and R. Szwarc, An analytic family of uniformly bounded representations of free groups, Acta Math. 157 (1986), 286-309. | Zbl 0681.43011

[014] [Se] J.-P. Serre, Trees, Springer, Berlin, 1980.

[015] [Sz1] R. Szwarc, Matrix coefficients of irreducible representations of free products of groups, Studia Math. 94 (1989), 179-185. | Zbl 0838.43009

[016] [Sz2] R. Szwarc, Groups acting on trees and approximation properties of the Fourier algebra, J. Funct. Anal. 95 (1991), 320-343. | Zbl 0744.22005

[017] [Va] A. Valette, Cocycles d'arbres et représentations uniformément bornées, C. R. Acad. Sci. Paris Sér. I 310 (1990), 703-708.

[018] [W1] J. Wysoczański, Herz-Schur multipliers and uniformly bounded representations of free products of discrete groups, Ph.D. Thesis, Uniwersytet Wrocławski, 1990.

[019] [W2] J. Wysoczański, An analytic family of uniformly bounded representations of a free product of discrete groups, Pacific J. Math. 157 (1993), 373-387. | Zbl 0742.30038