Timeline for Does every nontrivial group adimit a nontrivial unitary representation?
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Dec 2, 2010 at 19:43 | comment | added | user6976 | The groups are residually finite so they have lots of finite dimensional unitary representations. I have answered the updated question also. But it is much less trivial than the original question. | |
Dec 2, 2010 at 19:03 | comment | added | Theo Johnson-Freyd | Well, if you have two nonisomorphic groups neither of which has finite-dimensional matrix representations, then certainly the answer to your updated question is yes! | |
Dec 2, 2010 at 12:25 | history | edited | user6976 | CC BY-SA 2.5 |
added 504 characters in body
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Dec 2, 2010 at 10:47 | history | answered | user6976 | CC BY-SA 2.5 |