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1. • CommentRowNumber1.
   • CommentAuthorTobyBartels
   • CommentTimeAug 26th 2012
   • PermaLink
   Author: TobyBartels
   Format: MarkdownItexI've now written [[C-star-coalgebra]]. Just as the dual of a coalgebra is an algebra, the dual of a $C^*$-coalgebra is a $C^*$-algebra; in fact, the dual of a $C^*$-coalgebra is a $W^*$-algebra. Which $W^*$-algebras arise in this way???

   I’ve now written C-star-coalgebra.

   Just as the dual of a coalgebra is an algebra, the dual of a $C^*$-coalgebra is a $C^*$-algebra; in fact, the dual of a $C^*$-coalgebra is a $W^*$-algebra.

   Which $W^*$-algebras arise in this way???

2. • CommentRowNumber2.
   • CommentAuthorTobyBartels
   • CommentTimeAug 26th 2012
   • PermaLink
   Author: TobyBartels
   Format: MarkdownItexI've now [asked this question](http://mathoverflow.net/questions/105502/which-w-algebras-are-the-duals-of-c-coalgebras) on MathOverflow.

   I’ve now asked this question on MathOverflow.

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeAug 26th 2012
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have added links to the entry from _[[coalgebra]]_ and from _[[C-star algebra]]_.

   I have added links to the entry from coalgebra and from C-star algebra.

4. • CommentRowNumber4.
   • CommentAuthorYemon Choi
   • CommentTimeAug 28th 2012
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   Author: Yemon Choi
   Format: MarkdownItexComment added on one of Toby's examples of something that is not a [C-star-coalgebra](http://ncatlab.org/nlab/show/C-star-coalgebra).

   Comment added on one of Toby’s examples of something that is not a C-star-coalgebra.