Fundamental group of simple C ∗-algebras with unique trace II

We show that any countable subgroup of the multiplicative group R ×+ of positive real numbers can be realized as the fundamental group F(A) of a separable simple unital C ∗-algebra A with unique trace. Furthermore for any fixed countable subgroup G of R ×+ , there exist uncountably many mutually nonisomorphic such algebras A with G = F(A). © 2010 Elsevier Inc. All rights reserved