A short computation of the norms of free convolution operators
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- by Wolfgang Woess PDF
- Proc. Amer. Math. Soc. 96 (1986), 167-170 Request permission
Abstract:
Akemann and Ostrand in 1976 gave a formula for the norms of free convolution operators on the ${L^2}$-space of a discrete group. Using random walk techniques and generating functions, a short and elementary computation of this formula is given.References
- Charles A. Akemann and Phillip A. Ostrand, Computing norms in group $C^*$-algebras, Amer. J. Math. 98 (1976), no. 4, 1015–1047. MR 442698, DOI 10.2307/2374039
- Christian Berg and Jens Peter Reus Christensen, Sur la norme des opérateurs de convolution, Invent. Math. 23 (1974), 173–178 (French). MR 338685, DOI 10.1007/BF01405169
- Peter Gerl and Wolfgang Woess, Local limits and harmonic functions for nonisotropic random walks on free groups, Probab. Theory Relat. Fields 71 (1986), no. 3, 341–355. MR 824708, DOI 10.1007/BF01000210
- Harry Kesten, Symmetric random walks on groups, Trans. Amer. Math. Soc. 92 (1959), 336–354. MR 109367, DOI 10.1090/S0002-9947-1959-0109367-6
Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 96 (1986), 167-170
- MSC: Primary 43A05; Secondary 43A15
- DOI: https://doi.org/10.1090/S0002-9939-1986-0813831-3
- MathSciNet review: 813831