On cocycle superrigidity for Gaussian actions

2009/10/20 by Peterson, Jesse, Sinclair, Thomas · 1 citation
#37A20 #46L10 #46L57 #FOS: Mathematics #Group Theory (math.GR) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.0910.3958

Abstract

We present a general setting to investigate U_fin-cocycle superrigidity for Gaussian actions in terms of closable derivations on von Neumann algebras. In this setting we give new proofs to some U_fin-cocycle superrigidity results of S. Popa and we produce new examples of this phenomenon. We also use a result of K. Schmidt to give a necessary cohomological condition on a group representation in order for the resulting Gaussian action to be U_fin-cocycle superrigid.

Cited by

• Discrete measured groupoid von Neumann algebras via the Gaussian deformation

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