Timeline for Tannaka duality for C*-algebras?
Current License: CC BY-SA 3.0
4 events
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| Apr 27, 2013 at 16:28 | comment | added | Dmitri Pavlov | The same construction works for C*-algebras, except that one should work in the bicategory of C*-categories, C*-functors, and natural transformations. Specifically, Hilbert C*-modules over a given C*-algebra form a C*-category. Hilbert spaces also form a C*-category and the C*-algebra of endomorphisms of the forgetful functor is canonically isomorphic to the original C*-algebra. | |
| Apr 22, 2013 at 11:49 | comment | added | David Corfield | Have you checked to see how far the nLab entry on Tannaka Duality (ncatlab.org/nlab/show/Tannaka+duality) takes you? | |
| Apr 21, 2013 at 21:15 | comment | added | Tobias Fritz | Thanks for this, that's a good start. Those Yoneda lemma applications are incredibly sneaky! | |
| Apr 21, 2013 at 20:06 | history | answered | Qiaochu Yuan | CC BY-SA 3.0 |