Timeline for Connes' fusion product
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
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| May 28, 2019 at 3:06 | comment | added | Yemon Choi | @MarcelBischoff Why not write up the comment as an answer? | |
| Dec 1, 2017 at 0:38 | comment | added | Yemon Choi | Link for the article mentioned by @MarcelBischoff: numdam.org/item/SB_1994-1995__37__251_0 | |
| Dec 1, 2017 at 0:37 | comment | added | Yemon Choi | MatthiasLudewig: Well for one example: if M and N are infinite-dimensional Hilbert spaces that are irreducible G-modules for some locally compact group G, then the only G-homs from M* to N would be scalar multiples of the identity, which can only be Hilbert-Schmidt if they are identically zero. I guess that similar considerations may apply for certain non-irreducible reps, given the title of the article that @MarcelBischoff refers to | |
| Nov 28, 2017 at 21:21 | comment | added | Matthias Ludewig | This is certainly not true, as can be seen from the second description. | |
| Nov 28, 2017 at 21:21 | history | edited | Matthias Ludewig | CC BY-SA 3.0 |
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| Nov 28, 2017 at 13:35 | comment | added | Marcel Bischoff | The $\mathcal U$. | |
| Nov 28, 2017 at 8:34 | comment | added | Matthias Ludewig | @MarcelBischoff: I don't understand... which space will be dense? | |
| Nov 27, 2017 at 19:36 | comment | added | Marcel Bischoff | As far as I understand, the problem is that "even in the simplest case this space will be dense", see p253 (2) in Vaughan Jones, Fusion en algèbres de von Neumann et groupes de lacets | |
| Nov 27, 2017 at 17:04 | comment | added | Yemon Choi | I thought the main point of the Connes fusion product was to tensor two bimodules and obtain a _bimodule? In any case, have you looked at Andreas Thom's article tac.mta.ca/tac/volumes/25/2/25-02abs.html which might implicitly address your question? | |
| Nov 27, 2017 at 11:22 | history | asked | Matthias Ludewig | CC BY-SA 3.0 |