Timeline for Relating different constructions of the universal compact quantum group
Current License: CC BY-SA 4.0
9 events
when toggle format | what | by | license | comment | |
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Mar 21, 2021 at 10:52 | vote | accept | CommunityBot | ||
Mar 21, 2021 at 9:22 | answer | added | Stefaan Vaes | timeline score: 4 | |
Mar 20, 2021 at 23:31 | comment | added | user167952 | @JPMcCarthy Thanks for the reference, I'm familiar with this book but I don't quite see how it helps. Anyways, thanks for your time and help. | |
Mar 20, 2021 at 23:24 | comment | added | JP McCarthy | Something along these lines should be in Timmermann. There is a kind of triangle commutative diagram in the chapter about CQGs. I cannot help further right now apologies | |
Mar 20, 2021 at 23:19 | comment | added | JP McCarthy | I'm looking for a reference but it is the $A_0$ that would be isomorphic - you would be showing all these norms are minimal/equal on $A_0$. | |
Mar 20, 2021 at 23:11 | comment | added | user167952 | @JPMcCarthy Thanks for your comment. Do you have an idea how we can show that these completions are isomorphic? | |
Mar 20, 2021 at 22:41 | comment | added | JP McCarthy | I have seen another version again which says start with $A_0$, which has a Haar state, and define a norm $\|f\|_r=\|\pi_h(f)\|$, and the completion of this is another reduced version. I think what you might need is that all these $A_0$ for all these completions are isomorphic and that all these completions are minimal in that $\|\cdot\|_r\leq\|\cdot\|$ for any other norm on $A_0$. | |
Mar 20, 2021 at 21:35 | history | edited | user167952 | CC BY-SA 4.0 |
Changed overlines by tildes to avoid confusion with regard to topological closures.
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Mar 20, 2021 at 21:02 | history | asked | user167952 | CC BY-SA 4.0 |