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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