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The theory of lattices in the sense of order theory. For the number-theoretic notion, use the tag "lattices" instead.

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A congruence relation on the projection lattice

This question is a continuation of what I asked here. Tristan Bice showed the following nice result there: Let $A$ be a von Neumann algebra and $P$ its projection lattice, ordered by $p\leq q\Leftrig …
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