Compressions of free products of von Neumann algebras
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A reduction formula for compressions of von Neumann algebra II1-factors arising as free products is proved. This shows that the fundamental group is R*+ 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-factors are constructed; this produces type III1 factors with core M B(H), where M can be a full II1-factor without the Haagerup approximation property.