Title: Irreducible representations of the free product of groups

Authors: Waldemar Hebisch and Wojciech Mlotkowski

Issue: Volume 59 (2010), Issue 1, 131-182

Abstract: We study some properties, such as uniform boundedness, unitarity and irreducibility, of a class of representations of the free product of groups. In particular we show that the spherical functions on the free product of two groups, introduced by Cartwright and Soardi, are coefficients of irreducible representations.