%0 Journal Article
%T The full group C*-algebra of the modular group is primitive
%A Erik Bedos
%A Tron Omland
%J Mathematics
%D 2009
%I arXiv
%X We show that the full group C$^*$-algebra of $PSL(n, \Z)$ is primitive when $n=2$, and not primitive when $n\geq 3$. Moreover, we show that there exists an uncountable family of pairwise inequivalent, faithful irreducible representations of $C^*(PSL(2,\Z))$.
%U http://arxiv.org/abs/0906.4916v2