On rigidity in II1 factor framework

1 hour 9 mins,  266.35 MB,  iPod Video  480x270,  29.97 fps,  44100 Hz,  527.03 kbits/sec
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Description: Popa, S (University of California, Los Angeles)
Monday 23rd January 2017 - 10:00 to 11:00
 
Created: 2017-02-08 13:59
Collection: Operator algebras: subfactors and their applications
Publisher: Isaac Newton Institute
Copyright: Popa, S
Language: eng (English)
Distribution: World     (downloadable)
Explicit content: No
Aspect Ratio: 16:9
Screencast: No
Bumper: UCS Default
Trailer: UCS Default
 
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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