Property (T) and approximate conjugacy of actions
58 mins 36 secs,
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About this item
| Description: |
Aaserud, A (Cardiff University)
Thursday 20th April 2017 - 10:00 to 11:00 |
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| Created: | 2017-04-28 11:00 |
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| Collection: | Non-Positive Curvature Group Actions and Cohomology |
| Publisher: | Isaac Newton Institute |
| Copyright: | Aaserud, A |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
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| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | I will define a notion of approximate conjugacy for probability measure preserving actions and compare it to the a priori stronger classical notion of conjugacy for such actions. In particular, I will spend most of the talk explaining the proof of a theorem stating that two ergodic actions of a fixed group with Kazhdan's property (T) are approximately conjugate if and only if they are actually conjugate. Towards this end, I will discuss some constructions from the theory of von Neumann algebras, including the basic construction of Vaughan Jones and a version of the Feldman-Moore construction. I will also provide some evidence that this theorem may yield a characterization of groups with Kazhdan's property (T). (Joint work with Sorin Popa) |
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