Enlargements of quantum logics
Mirko Navara, Pavel Pták, Vladimír Rogalewicz · Pacific Journal of Mathematics · 1988
Let A" be a quantum logic whose state space is nonvoid.Let B be a Boolean algebra and let C be a compact convex subset of a locally convex topological linear space.Then K can be enlarged to a logic L such that the centre of L equals B and the state space of L equals C. (The result remains valid when we replace the word "logic" with "orthomodular lattice".)