  A reduction formula for compressions of von Neumann algebras arising as free
products is proved. This shows that the fundamental group is all of the
positive reals for some such algebras. Additionally, by taking a sort of free
product with an unbounded semicircular element, continuous one parameter groups
of trace scaling automorphisms on II_infinity factors are constructed; this
produces type III_1 factors with core M tensor B(H), where M can be a full
II_1-factor without the Haagerup approximation property.
