A Lévy-Khinchin formula for free groups

DOI10.1090/S0002-9939-2014-12466-XzbMath1311.43009arXiv1304.5763MaRDI QIDQ5179317

Søren Knudby, Uffe Haagerup

Publication date: 19 March 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.5763

zbMATH Keywords

free groupradial functionLévy-Khinchin formulaspherical mapconditionally negative map

Mathematics Subject Classification ID

Free nonabelian groups (20E05) Harmonic analysis and spherical functions (43A90) Positive definite functions on groups, semigroups, etc. (43A35)

Related Items

Characterization of positive definite, radial functions on free groups ⋮ Hyper-positive definite functions I: scalar case, branching-type stationary stochastic processes ⋮ The exact convergence rate in the ergodic theorem of Lubotzky-Phillips-Sarnak and a universal lower bound on discrepancies

Cites Work

• Spherical functions and harmonic analysis on free groups
• An example of a non nuclear C*-algebra, which has the metric approximation property
• Semigroups of Herz-Schur multipliers
• SCHUR MULTIPLIERS AND SPHERICAL FUNCTIONS ON HOMOGENEOUS TREES
• The radial Fourier-Stieltjes algebra of free groups
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