A reduction formula for compressions of von Neumann algebra II1-factors ari
sing as free products is proved. This shows that the fundamental group is R
T for some such algebras. Additionally, by taking a sort of free product wi
th an unbounded semicircular element, continuous one parameter groups of tr
ace scaling automorphisms on IIinfinity-factors are constructed; this produ
ces type III1 factors with core M x B(H), where M can be a full II1-factor
without the Haagerup approximation property.