Timeline for Index of a particular subfactor
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 30, 2020 at 17:57 | vote | accept | sibani | ||
| Jan 30, 2020 at 14:18 | comment | added | David Handelman | Are you asking if it could be infinite? This is indeed the case: consider the very first example (which led to Vaughan Jones' results), the product type action of SU(2) on the $2^{\infty}$ UHF C*-algebra, extended to the action on the hyperfinite factor. If the group is connected and the action is nontrivial, presumably the index is always infinite. | |
| Jan 30, 2020 at 12:46 | answer | added | André Henriques | timeline score: 1 | |
| Jan 30, 2020 at 12:40 | comment | added | sibani | No, I do not understand in any case. The definition of index to me is the dimension of $L^{2}(M)$ over $M^{G}$ module. | |
| Jan 30, 2020 at 12:26 | comment | added | André Henriques | Dear Desperate mathematician, it would be useful if you could explain what are the things that you've already studied and understood, that go in the direction of the question asked. For example, do you understand the case when $G$ is $\mathbb Z/2 \mathbb Z$? If yes, do you understand the case when $G$ is finite... etc. | |
| Jan 30, 2020 at 11:41 | history | asked | sibani | CC BY-SA 4.0 |