Timeline for Schur's Lemma for Hilbert spaces
Current License: CC BY-SA 3.0
9 events
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| Jul 13, 2020 at 17:36 | comment | added | Yemon Choi | A belated addition to these comments: if the representation is a unitary one, then we are in the setting of topologically irreducible $*$-representations of ${\rm C}^*$-algebras on Hilbert spaces, and it turns out that these are all automatically algebraically irreducible: this is Kadison's transitivity theorem en.wikipedia.org/wiki/Kadison_transitivity_theorem | |
| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Aug 11, 2015 at 11:16 | vote | accept | David E Speyer | ||
| Aug 10, 2015 at 23:47 | answer | added | David E Speyer | timeline score: 0 | |
| Aug 10, 2015 at 1:47 | history | edited | Eric Wofsey |
edited tags
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| Aug 10, 2015 at 1:47 | answer | added | Eric Wofsey | timeline score: 8 | |
| Aug 10, 2015 at 1:24 | comment | added | Eric Wofsey | In the unitary case (or more generally, if the group $G$ is closed under taking adjoints), the ring $D$ is a von Neumann algebra and so there is a lot you can say. In particular, for instance, by spectral theory $D$ is generated by its projections. | |
| Aug 10, 2015 at 1:23 | history | edited | Joseph O'Rourke | CC BY-SA 3.0 |
Added the question titles, which I think convey some useful information for those hesitant about following the links.
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| Aug 10, 2015 at 1:14 | history | asked | David E Speyer | CC BY-SA 3.0 |