GELFAND–RAIKOV REPRESENTATIONS OF COXETER GROUPS
ASSOCIATED WITH POSITIVE DEFINITE NORM FUNCTIONS
Marek Bożejko
Takeshi Hirai
Abstract: The main purpose of the paper is to study the type of Gelfand–Raikov representations
of Coxeter groups for the special positive definite functions coming from the
deformed Poisson (Haagerup) positive definite functions for some special length
(norm) functions on Coxeter groups .
2000 AMS Mathematics Subject Classification: Primary: 20F55; Secondary: 20C10,
43A35, 46L54.
Keywords and phrases: Free probability, Coxeter groups, Gelfand–Raikov
representation, positive definite functions.