Timeline for Examples of locally compact groups that do not admit enough finite dimensional representations
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Dec 7, 2021 at 12:26 | comment | added | YCor | I don't think it's "weaker", it's a variant of the question. That continuous complex representations, vs continuous representation over valued fields, separate points, are independent conditions, as I explained in a comment (where I explicitly mentioned that $\mathrm{SL}_2(\mathbf{Q}_p)$ has no nontrivial continuous complex representation). | |
Dec 7, 2021 at 9:01 | history | answered | AlexIvanov | CC BY-SA 4.0 |