Compressions of free products of von Neumann algebras Academic Article uri icon


  • 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.

published proceedings


author list (cited authors)

  • Dykema, K. J., & Radulescu, F.

citation count

  • 10

complete list of authors

  • Dykema, KJ||Radulescu, F

publication date

  • January 2000