Computing norms of free operators with matrix coefficients

American Journal of Mathematics

Volumn 121, Issue 3, 1999, Pages 453-486

  Lehner, Franz ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033147691     PISSN: 00029327     EISSN: None     Source Type: Journal    
DOI: 10.1353/ajm.1999.0022     Document Type: Article

References (19)

1. C. A. Akemann and P. A. Ostrand, Computing norms in group C* -algebras, Amer. J. Math. 98 (1976), 1015-1047.
2. M. Bozejko, On Λ(p) sets with minimal constant in discrete noncommutative groups, Proc. Amer. Math. Soc. 51 (1975), 407-412.
3. J. de Canniere and U. Haagerup, Multipliers of the Fourier algebras of some simple Lie groups and their discrete subgroups, Amer. J. Math. 107 (1985), 455-500.
4. P. de la Harpe, A. G. Robertson, and A. Valette, On the spectrum of the sum of generators for a finitely generated group I, Israel J. Math. 81 (1993), 65-96.
5. A. Figa-Talamanca and T. Steger, Harmonic analysis on for anisotropic random walks on homogeneous trees, Mem. Amer. Math. Soc. 531 (1994).
6. M. Flory, Estimating norms in C* -algebras of discrete groups, Math. Ann. 224 (1976), 41-52.
7. R. Grigorchuk and P. de la Harpe, On problems related to growth, entropy and spectrum in group theory, J. Dynam. Control Systems 3 (1997), 51-89.
8. U. Haagerup, On Voiculescu's R- and S-transforms for free non-commuting random variables, Free Probability Theory, Fields Institute Proceedings, vol. 12, Amer. Math. Soc., Providence, RI, 1997, pp. 127-148.
9. U. Haagerup and G. Pisier, Bounded linear operators between C* -algebras, Duke Math. J. 71 (1993), 889-925.
10. H. Kesten, Symmetric random walks on groups, Trans. Amer. Math. Soc. 92 (1959), 336-354.
11. F. Lehner, Free operators with operator coefficients, Colloq. Math. 74 (1997), 321-328.
12. M. Leinert, Faltungsoperatoren auf gewissen diskreten Gruppen, Studia Math. 52 (1974), 149-158.
13. M. A. Picardello and T. Pytlik, Norms of free operators, Proc. Amer. Math. Soc. 104 (1988), 257-261.
14. G. Pisier, A simple proof of a theorem of Kirchberg and related results on C* -norms, J. Operator Theory 35 (1996), 317-335.
15. I. Searle, RLab2, http://www.eskimo.com/~ians/rlab.html.
16. D. Voiculescu, K. Dykema, and A. Nica, Free Random Variables, CRM Monograph Series, vol. 1, Amer. Math. Soc., Providence, RI, 1992.
17. D. Voiculescu, Operations on certain non-commutative operator-valued random variables, Recent advances in operator algebras, Orléans 1992, Astérisque 232 (1995), 243-275.
18. W. Woess, A short computation of the norms of free convolution operators, Proc. Amer. Math. Soc. 96 (1986), 167-170.
19. _, Nearest neighbour random walks on free products of discrete groups, Boll. Un. Mat. Ital. B 6 (1986), 961-982.