A Lévy-Khinchin formula for free groups
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- by Uffe Haagerup and Søren Knudby PDF
- Proc. Amer. Math. Soc. 143 (2015), 1477-1489 Request permission
Abstract:
We find a Lévy-Khinchin formula for radial functions on free groups. As a corollary we obtain a linear bound on the growth of radial, conditionally negative definite functions on free groups of two or more generators.References
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Additional Information
- Uffe Haagerup
- Affiliation: Department of Mathematical Sciences, University of Copenhagen, Universitets- parken 5, DK-2100 Copenhagen Ø, Denmark
- Email: haagerup@math.ku.dk
- Søren Knudby
- Affiliation: Department of Mathematical Sciences, University of Copenhagen, Universitets- parken 5, DK-2100 Copenhagen Ø, Denmark
- Email: knudby@math.ku.dk
- Received by editor(s): September 23, 2013
- Published electronically: December 3, 2014
- Additional Notes: The authors were supported by ERC Advanced Grant no. OAFPG 247321 and the Danish National Research Foundation through the Centre for Symmetry and Deformation (DNRF92). The first author was also supported by the Danish Natural Science Research Council.
- Communicated by: Marius Junge
- © Copyright 2014 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 143 (2015), 1477-1489
- MSC (2010): Primary 20E05, 43A35, 43A90
- DOI: https://doi.org/10.1090/S0002-9939-2014-12466-X
- MathSciNet review: 3314063