Compressions of free products of von Neumann algebras

Details Compressions of free products of von Neumann algebras Compressions of free products of von Neumann algebras

1999-11-02

arxiv.org/abs/math/9911011v2

Math. Ann. 316 (2000), 61-82

Mathematics

Operator Algebras

(22 pages) This eprint version corrects some typographical errors that appeared in the original eprint version and in the publ

Scientific paper

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.

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