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On rigidity in II1 factor framework

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OASW01 - Structure of operator algebras: subfactors and fusion categories

II1 factors appear naturally from a multitude of data (groups, group actions, operations such as free products, etc). 
This leads to two types of rigidity phenomena in this framework:  
1. W*-rigidity, aiming at recovering the building data from the isomorphism class of the algebra. 
2. Restrictions on the symmetries of the II1 factor (like the index of its subfactors). 
We will discuss some old and new results in this direction, and the role of deformation-rigidity techniques 
in obtaining them.  

This talk is part of the Isaac Newton Institute Seminar Series series.

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