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On rigidity in II1 factor framework

Presented by: 
Sorin Popa University of California, Los Angeles
Date: 
Monday 23rd January 2017 - 10:00 to 11:00
Venue: 
INI Seminar Room 1
Abstract: 
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.  
  
 
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons