Timeline for Is the left-regular representation of a locally compact group a homeomorphism onto its image?
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| 18 hours ago | comment | added | Ali Taghavi | Is not the left representation a map $\lambda: L^1(G) to B(L^2(G)$ via convlution? As another question is te left and right representation gives the same reduce C^* structure? | |
| Oct 31, 2022 at 13:06 | vote | accept | Lau | ||
| Oct 31, 2022 at 9:07 | comment | added | YCor | @Lauritz yes, it does. Every unitary representation of a compact group is $C^0$ (this is a tautological $\forall x\in\emptyset$ condition). | |
| Oct 31, 2022 at 7:49 | comment | added | Lau | Thanks for adding in the definition. The left regular rep of a compact group does not have this property, right? | |
| Oct 31, 2022 at 6:51 | history | edited | YCor | CC BY-SA 4.0 |
added definition
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| Oct 31, 2022 at 0:32 | comment | added | Lau | Thank you! could you explain what you mean by $C^0$? | |
| Oct 30, 2022 at 23:13 | history | answered | YCor | CC BY-SA 4.0 |