Timeline for The kernel of $C^{*}(G)\to C_{r}^{*}(G)$
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
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| S Jan 25, 2015 at 0:15 | history | bounty ended | CommunityBot | ||
| S Jan 25, 2015 at 0:15 | history | notice removed | CommunityBot | ||
| Jan 19, 2015 at 21:40 | comment | added | Alain Valette | See "On Isolated Points in the Dual Spaces of Locally Compact Groups", by S. P. Wang, Mathematische Annalen (1975) Volume: 218, page 19-34; available on gdz.sub.uni-goettingen.de/dms/load/img/… | |
| Jan 18, 2015 at 14:39 | comment | added | Ali Taghavi | @AlainValette I apologize for this second message. may you give a reference on material of your comment. thank you. | |
| Jan 17, 2015 at 18:55 | comment | added | Ali Taghavi | @AlainValette Can I ask you to give a reference for these materials? | |
| Jan 17, 2015 at 9:46 | comment | added | Ali Taghavi | @AlainValette Prof. Valette, Thank you very much for your very interesting comment. | |
| Jan 17, 2015 at 8:32 | comment | added | Alain Valette | This is a wide open question. I personally believe that, for $G$ discrete, the question is intractable, because a description of $I(G)$ is very much related to a description of the dual $\hat{G}$. As an example, consider a residually finite group with property (T). It is known that each finite-dimensional rep is isolated in $\hat{G}$, so defines a direct summand of $C^*(G)$ isomorphic to a matrix algebra. So $I(G)$ contains a huge direct sum of matrix algebras, and probably lots of other stuff too. | |
| S Jan 16, 2015 at 22:19 | history | bounty started | Ali Taghavi | ||
| S Jan 16, 2015 at 22:19 | history | notice added | Ali Taghavi | Authoritative reference needed | |
| Jan 10, 2015 at 11:01 | history | edited | Ali Taghavi | CC BY-SA 3.0 |
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| Jan 10, 2015 at 8:35 | history | asked | Ali Taghavi | CC BY-SA 3.0 |