Finite von Neumann algebra factors with property Gamma

Details Finite von Neumann algebra factors with property Gamma Finite von Neumann algebra factors with property Gamma

2000-10-13

arxiv.org/abs/math/0010139v2

Mathematics

Operator Algebras

12 pages

Scientific paper

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.

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