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• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeApr 14th 2013

added to the list of References at poset of commutative subalgebras the following article

• Jan Hamhalter, Isomorphisms of ordered structures of abelian $C^\ast$-subalgebras of $C^\ast$-algebras, J. Math. Anal. Appl. 383 (2011) 391–399 (journal)

kindly pointed out to me by Andreas Döring. This generalizes Döring’s result already discussed there from von Neumann algebras to more general $C^\ast$-algebras.

• CommentRowNumber2.
• CommentAuthorDavidRoberts
• CommentTimeOct 17th 2018

Added missing https:// to a journal link, so that it doesn’t point to an nLab page (now created by an unwitting user).

• CommentRowNumber3.
• CommentAuthorDavidRoberts
• CommentTimeOct 17th 2018

Edited link text to give the actual doi

• CommentRowNumber4.
• CommentAuthorDavidRoberts
• CommentTimeOct 17th 2018