W∗-Bundles and Continuous Families of Subfactors
55 mins 20 secs,
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About this item
| Description: |
Evington, S (University of Glasgow)
Tuesday 24th January 2017 - 14:30 to 15:30 |
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| Created: | 2017-02-08 15:31 |
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| Collection: | Operator algebras: subfactors and their applications |
| Publisher: | Isaac Newton Institute |
| Copyright: | Evington, S |
| 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: | W∗-bundles were first introduced by Ozawa, motivated by work on the Toms-Winter Conjecture and, more generally, the classification of C∗-algebras.
I will begin with a brief introduction to W∗∗-bundles, explaining how they combine the measure theoretic nature of tracial von Neumann algebras with the topological nature of C∗∗-algebras. I will then discuss the relationship between the triviality problem for W∗∗-bundles and the Toms-Winter Conjecture. Finally, I will present my work with Ulrich Pennig on locally trivial W∗∗-bundles and my ongoing work on expected subbundles of W∗∗-bundles inspired by subfactor theory. |
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