title: Prime type III factors.
abstract: It is shown that for each 0 < lambda < 1, the free Araki-Woods factor of type III(lambda) cannot be written as a tensor product of two diffuse von Neumann algebras (i.e., is prime) and does not contain a Cartan subalgebra.
authors.affiliation: Department of Mathematics, University of California, Los Angeles, CA 90095, USA. shlyakht@math.ucla.edu
authors.forename: D
authors.initials: D
authors.lastname: Shlyakhtenko