The full group C*-algebra of the modular group is primitive

Details The full group C*-algebra of the modular group is primitive The full group C*-algebra of the modular group is primitive

2009-06-26

arxiv.org/abs/0906.4916v2

Mathematics

Operator Algebras

14 pages. Some changes in the exposition.

Scientific paper

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 $C^*(PSL(2,\Z))$.

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