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Revisiting the Transfinite Christensen-Pedersen Argument

Arulseelan, Jananan
arXiv (OAI Expanded) · Papers
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46l05logicoperator-algebras
Christensen and Pedersen proved that every properly infinite $\mathrm{AW}^*$-algebra is monotone sequentially complete, and Saitô and Wright developed a transfinite form of their dilation argument. We revisit the transfinite construction using normality of $\mathrm{AW}^*$-algebras. Normality simplif
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