Weak Morita equivalence of compact quantum groups
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About this item
| Description: |
Yamashita, M (Ochanomizu University)
Thursday 16th March 2017 - 14:00 to 15:00 |
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| Created: | 2017-03-20 17:11 |
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| Collection: | Operator algebras: subfactors and their applications |
| Publisher: | Isaac Newton Institute |
| Copyright: | Yamashita, 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: | Motivated by the 2-categorical interpretation of constructs in subfactor theory, Müger introduced the notion of weak Morita equivalence for tensor categories. This relation roughly says that the tensor categories have the same quantum double, or the same "representation theory". We give a characterization of this equivalence relation for representation categories of compact quantum groups in terms of certain commuting actions. This extends a similar characterization of monoidal equivalence due to Schauenburg and Bichon-De Rijdt-Vaes. Based on joint work with Sergey Neshveyev. |
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