Timeline for A coalgebra structure on compact operators
Current License: CC BY-SA 3.0
8 events
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Feb 9, 2015 at 18:33 | vote | accept | Ali Taghavi | ||
Nov 10, 2014 at 6:27 | comment | added | Ali Taghavi | And after a reasonable coalgebraic structure on compact operators the next question would be about closed coideals and cosubalgebras. Is it a cosimple coalgebra? | |
Nov 10, 2014 at 6:24 | comment | added | Ali Taghavi | @YemonChoi Very interesting point. However the usual definition of coalgebra requires the comultiplication took value in the algebraic tensor product, but your interesting comment is a motivation to ask about calgebraic structure on $C^{*}$ algebras with comultiplication in $A\bar{\otimes} A$. Is there some standard definition on this generalized coalgebraic structure? Any way both algebraic and topological comultiplication values are interesting. | |
Nov 9, 2014 at 20:44 | comment | added | Yemon Choi | Just to clarify: when you pass to the "limit" and look at $K(\ell_2)$, would you be satisfied with a comultiplication that took values in some completion of the usual tensor product, such as the spatial tensor product $K(\ell_2)\overline{\otimes} K(\ell_2)$? | |
Nov 9, 2014 at 19:47 | history | edited | Ali Taghavi | CC BY-SA 3.0 |
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Nov 9, 2014 at 18:49 | answer | added | Todd Trimble | timeline score: 4 | |
Nov 9, 2014 at 16:26 | history | edited | Ali Taghavi |
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Nov 9, 2014 at 16:21 | history | asked | Ali Taghavi | CC BY-SA 3.0 |