Group actions on C*-algebras and obstruction theory
1 hour 2 mins,
225.77 MB,
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480x270,
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44100 Hz,
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About this item
| Description: |
Izumi, M
Tuesday 20th June 2017 - 16:00 to 17:00 |
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| Created: | 2017-07-19 14:21 |
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| Collection: | Operator algebras: subfactors and their applications |
| Publisher: | Isaac Newton Institute |
| Copyright: | Izumi, M |
| 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: | This talk gives an account of the roles in group actions on C*-algebras played by the classical obstruction theory for fiber bundles. More specifically, I discuss the following deciding problems:
(1) whether a given 2-cocycle action is equivalent to an ordinary action or not, (2) whether a given 1-cocycle of an action is an (asymptotic) coboundary or not, (3) whether two given actions are cocycle conjugate or not. The idea works well for poly-Z groups on Kirchberg algebras. This is joint work with Hiroki Matui. |
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