Duke Mathematical Journal

More irreducible boundary representations of free groups

Gabriella Kuhn and Tim Steger
Source: Duke Math. J. Volume 82, Number 2 (1996), 381-436.
First Page: Show Hide
Primary Subjects: 20E06
Secondary Subjects: 20C15, 58F11
Full-text: Access denied (no subscription detected)
We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber.
If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077245039
Mathematical Reviews number (MathSciNet): MR1387235
Zentralblatt MATH identifier: 0851.22005
Digital Object Identifier: doi:10.1215/S0012-7094-96-08218-6

References

[1] S. Adams, Boundary amenability for word hyperbolic groups and an application to smooth dynamics of simple groups, Topology 33 (1994), no. 4, 765–783.
Mathematical Reviews (MathSciNet): MR96g:58104
Zentralblatt MATH: 0838.20042
Digital Object Identifier: doi:10.1016/0040-9383(94)90007-8
[2] C. A. Akemann and P. A. Ostrand, Computing norms in group $C\sp*$-algebras, Amer. J. Math. 98 (1976), no. 4, 1015–1047.
Mathematical Reviews (MathSciNet): MR56:1079
Zentralblatt MATH: 0342.22008
Digital Object Identifier: doi:10.2307/2374039
[3] F. Angelini, Rappresentazioni di un gruppo libero associate ad una passegiata a caso, 1989, under graduate thesis submitted at the Università degli Studi di Roma “La Sapienza”.
[4] C. Cecchini and A. Figà-Talamanca, Projections of uniqueness for $L\spp(G)$, Pacific J. Math. 51 (1974), 37–47.
Mathematical Reviews (MathSciNet): MR52:14849
Zentralblatt MATH: 0252.43007
Project Euclid: euclid.pjm/1102912791
[5] M. Cowling and T. Steger, The irreducibility of restrictions of unitary representations to lattices, J. Reine Angew. Math. 420 (1991), 85–98.
Mathematical Reviews (MathSciNet): MR93e:22019
Zentralblatt MATH: 0760.22014
[6] A. Figà-Talamanca and C. Nebbia, Harmonic analysis and representation theory for groups acting on homogeneous trees, London Mathematical Society Lecture Note Series, vol. 162, Cambridge University Press, Cambridge, 1991.
Mathematical Reviews (MathSciNet): MR93f:22004
[7] A. Figà-Talamanca and M. A. Picardello, Harmonic analysis on free groups, Lecture Notes in Pure and Applied Mathematics, vol. 87, Marcel Dekker Inc., New York, 1983.
Mathematical Reviews (MathSciNet): MR85j:43001
Zentralblatt MATH: 0536.43001
[8] A. Figà-Talamanca and T. Steger, Harmonic analysis for anisotropic random walks on homogeneous trees, Mem. Amer. Math. Soc. 110 (1994), no. 531, xii+68.
Mathematical Reviews (MathSciNet): MR95a:22003
Zentralblatt MATH: 0836.43019
[9] U. Haagerup, An example of a nonnuclear $C\sp\ast$-algebra, which has the metric approximation property, Invent. Math. 50 (1978/79), no. 3, 279–293.
Mathematical Reviews (MathSciNet): MR80j:46094
Zentralblatt MATH: 0408.46046
Digital Object Identifier: doi:10.1007/BF01410082
[10] T. Kajiwara, On irreducible decompositions of the regular representation of free groups, Boll. Un. Mat. Ital. A (6) 4 (1985), no. 3, 425–431.
Mathematical Reviews (MathSciNet): MR87i:22017
Zentralblatt MATH: 0586.22004
[11] G. Kuhn and T. Steger, A characterization of spherical series representations of the free group, Proc. Amer. Math. Soc. 113 (1991), no. 4, 1085–1096.
Mathematical Reviews (MathSciNet): MR92j:22010
Zentralblatt MATH: 0763.22001
Digital Object Identifier: doi:10.2307/2048788
[12] G. Mackey, Unitary representations of group extensions. I, Acta Math. 99 (1958), 265–311.
Mathematical Reviews (MathSciNet): MR20:4789
Zentralblatt MATH: 0082.11301
Digital Object Identifier: doi:10.1007/BF02392428
[13] T. Pytlik, Radial functions on free groups and a decomposition of the regular representation into irreducible components, J. Reine Angew. Math. 326 (1981), 124–135.
Mathematical Reviews (MathSciNet): MR84a:22017
Zentralblatt MATH: 0464.22004
Digital Object Identifier: doi:10.1515/crll.1981.326.124
[14] W. Rudin, Functional analysis, McGraw-Hill Book Co., New York, 1973.
Mathematical Reviews (MathSciNet): MR51:1315
Zentralblatt MATH: 0253.46001
[15] S. Sawyer and T. Steger, The rate of escape for anisotropic random walks in a tree, Probab. Theory Related Fields 76 (1987), no. 2, 207–230.
Mathematical Reviews (MathSciNet): MR89a:60165
Zentralblatt MATH: 0608.60064
Digital Object Identifier: doi:10.1007/BF00319984
[16] E. Seneta, Nonnegative Matrices and Markov Chains, Springer-Verlag, Berlin, 1973.
Mathematical Reviews (MathSciNet): MR719544
[17] R. Spatzier, An example of an amenable action from geometry, Ergodic Theory Dynam. Systems 7 (1987), no. 2, 289–293.
Mathematical Reviews (MathSciNet): MR88j:58100
Zentralblatt MATH: 0615.58028
Digital Object Identifier: doi:10.1017/S0143385700004016
[18] R. Spatzier and R. Zimmer, Fundamental groups of negatively curved manifolds and actions of semisimple groups, Topology 30 (1991), no. 4, 591–601.
Mathematical Reviews (MathSciNet): MR92m:57047
Zentralblatt MATH: 0744.57022
Digital Object Identifier: doi:10.1016/0040-9383(91)90041-2
[19] H. Yoshizawa, Some remarks on unitary representations of the free group, Osaka Math. J. 3 (1951), 55–63.
Mathematical Reviews (MathSciNet): MR13,10h
Zentralblatt MATH: 0045.30103
[20] R. Zimmer, Ergodic theory and semisimple groups, Monographs in Mathematics, vol. 81, Birkhäuser Verlag, Basel, 1984.
Mathematical Reviews (MathSciNet): MR86j:22014
Zentralblatt MATH: 0571.58015

2012 © Duke University Press

Duke Mathematical Journal

Duke Mathematical Journal

Turn MathJax Off
What is MathJax?