  Techniques introduced by G. Pisier in his proof that finite von Neumann
factors with property gamma have length at most 5 are modified to prove that
the length is 3. It is proved that if such a factor is a complemented subspace
of some larger C*-algebra then there exists a projection of norm one from the
larger onto the smaller algebra. A new proof of the fact that the second
continuous Hochschild cohomology group of such an algebra with coefficients in
the algebra vanishes, is also included.
