Timeline for when do norm-continuous unitary representations separate points of a group?
Current License: CC BY-SA 3.0
8 events
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Aug 12, 2013 at 15:51 | comment | added | Yemon Choi | @FrancoisZiegler I think your last guess is correct (a theorem of Freudenthal and Weil IIRC) | |
| Aug 11, 2013 at 20:55 | history | edited | Sergei Akbarov | CC BY-SA 3.0 |
english grammar
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| Aug 11, 2013 at 20:46 | comment | added | Sergei Akbarov | François, actually I'd like to have a theorem for general situation (not only for Lie groups, but a description for this subclass among all locally compact groups)... Is it possible that there is a gap between SIN-groups and those I am interested in?.. (Thank you for the reference anyway!) | |
| Aug 11, 2013 at 20:14 | comment | added | Francois Ziegler | How important is the generality of all locally compact groups to you? If you restrict attention to connected Lie groups, then Corollary 5 of I. M. Singer, Uniformly continuous representations of Lie groups (1952: ams.org/mathscinet-getitem?mr=49201) suggests that only the products (compact Lie group) $\times$ (vector group) will satisfy your condition. (These are, I guess, precisely the connected Lie SIN-groups?) | |
| Aug 11, 2013 at 10:01 | history | edited | Sergei Akbarov | CC BY-SA 3.0 |
misprints
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| Aug 10, 2013 at 19:30 | history | edited | Sergei Akbarov | CC BY-SA 3.0 |
I added "unitary" in the title
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| Aug 10, 2013 at 19:06 | history | asked | Sergei Akbarov | CC BY-SA 3.0 |