English

A L\'evy-Khinchin formula for free groups

Group Theory 2016-09-19 v2 Functional Analysis Operator Algebras

Abstract

We find a L\'evy-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.

Keywords

Cite

@article{arxiv.1304.5763,
  title  = {A L\'evy-Khinchin formula for free groups},
  author = {Uffe Haagerup and Søren Knudby},
  journal= {arXiv preprint arXiv:1304.5763},
  year   = {2016}
}

Comments

13 pages. Added references

R2 v1 2026-06-22T00:03:44.924Z