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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Rothschild Lecture: Classification of von Neumann algebras

## Rothschild Lecture: Classification of von Neumann algebrasAdd to your list(s) Download to your calendar using vCal - Stefaan Vaes (KU Leuven)
- Monday 12 June 2017, 16:00-17:00
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact info@newton.ac.uk. OASW03 - Subfactors, K-theory and conformal field theory The theme of this talk is the dichotomy between amenability and non-amenability. Because the group of motions of the three-dimensional Euclidean space is non-amenable (as a group with the discrete topology), we have the Banach-Tarski paradox. In dimension two, the group of motions is amenable and there is therefore no paradoxical decomposition of the disk. This dichotomy is most apparent in the theory of von Neumann algebras: the amenable ones are completely classified by the work of Connes and Haagerup, while the non-amenable ones give rise to amazing rigidity theorems, especially within Sorin Popa's deformation/rigidity theory. I will illustrate the gap between amenability and non-amenability for von Neumann algebras associated with countable groups, with locally compact groups, and with group actions on probability spaces. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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