BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Popa's intertwining theory for type III factors Isono, Yusuke


Popa's intertwining theory is a very powerful tool to study inclusions of finite von Neumann algebras. This is in fact one of the most important technical ingredient in Popa's deformation/rigidity theory. Since this intertwining technique works only for finite von Neumann algebras, there have been many attempts to generalize it to inclusions of general von Neumann algebras. In this talk, I will give a survey of recent development for these attempts, which are mainly given by C. Houdayer, S. Vaes, Y. Ueda, A. Marrakchi, and myself. I also mention applications to the deformation/rigidity theory.

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