Timeline for Is the "Laplacian" a MASA in a Burnside Factor?
Current License: CC BY-SA 2.5
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 4, 2011 at 0:58 | history | undeleted | Anton Geraschenko | ||
| Dec 11, 2010 at 15:57 | history | deleted | Jon Bannon | ||
| Sep 23, 2010 at 6:06 | comment | added | Andreas Thom | Good question, but most likely too difficult. 1) Grigorchuk-Zuk showed that the Laplacian of the Lamplighter group has only point spectrum. So it seems to much to hope that the Laplacian algebra is always diffuse. 2) Denis Osin has constructed torsion groups with positive first $\ell^2$-Betti number. Maybe this is a place where one could hope to get that the Laplacian generates a MASA. | |
| Sep 22, 2010 at 22:49 | comment | added | Jon Bannon | I don't even know that, Owen. | |
| Sep 22, 2010 at 22:37 | comment | added | Owen Sizemore | I haven't thought about this much, but is it easy to see that the algebra it generates is diffuse? | |
| Sep 22, 2010 at 22:21 | history | edited | Jon Bannon | CC BY-SA 2.5 |
added 111 characters in body; deleted 5 characters in body
|
| Sep 22, 2010 at 21:40 | history | edited | Jon Bannon | CC BY-SA 2.5 |
added 53 characters in body; added 13 characters in body
|
| Sep 22, 2010 at 21:31 | history | edited | Jon Bannon | CC BY-SA 2.5 |
More motivation...; added 46 characters in body; deleted 1 characters in body; added 1 characters in body
|
| Sep 22, 2010 at 21:13 | history | edited | Jon Bannon | CC BY-SA 2.5 |
added 54 characters in body
|
| Sep 22, 2010 at 20:59 | history | asked | Jon Bannon | CC BY-SA 2.5 |