Finite von Neumann algebra factors with property Gamma

2000/10/13 by Erik Christensen, Christensen, Erik
Mathematics · #46L10 #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #math.FA #math.OA #msc:46L10

paper · pdf · doi:10.48550/arxiv.math/0010139

12 pages

arxiv created 2000/10/14 · arxiv updated 2009/11/30

Abstract

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.

Related

• Hochschild cohomology of type II₁ von Neumann algebras with Property Γ
• Hochschild Cohomology of Factors with Property Γ
• Embedding Dimensions of Finite von Neumann Algebras
• On a von Neumann algebra which is a complemented subspace
• Uniform property Gamma