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broken link fixed, cf. https://meta.mathoverflow.net/q/5301/70594
Glorfindel
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There exist further generalizations but they do not go very far from AW*-algebras. See

Link and

http://dmle.cindoc.csic.es/pdf/PUBLICACIONSMATEMATIQUES_1995_39_01_01.pdf

Anatoly Kochubei
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