Deformation and rigidity for group actions and von Neumann algebras
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Title 
Deformation and rigidity for group actions and von Neumann algebras

Title of Series  
Number of Parts 
33

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License 
CC Attribution 3.0 Germany:
You are free to use, adapt and copy, distribute and transmit the work or content in adapted or unchanged form for any legal purpose as long as the work is attributed to the author in the manner specified by the author or licensor. 
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Release Date 
2006

Language 
English

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Subject Area  
Abstract 
We present some recent rigidity results for von Neumann algebras (II1 factors) and equivalence relations arising from measure preserving actions of groups on probability spaces which satisfy a combination of deformation and rigidity properties. This includes strong rigidity results for factors with calculation of their fundamental group and cocycle superrigidity for actions with applications to orbit equivalence ergodic theory.

Keywords  von Neumann algebras II1 factors amenability and property T for groups measure preserving actions Bernoulli actions orbit equivalence cocycles 
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