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math.OA2026
Counterexamples to the Monotone Completeness Conjecture
Jananan Arulseelan, James E. Hanson
Combining a modification of the recent counterexample to the quasitrace conjecture with model-theoretic reductions due to the first author, we exhibit a counterexample to the monot…
math.OA2026
Every -Algebra is Normal
Jananan Arulseelan, James E. Hanson
Using set-theoretic methods, we prove that every -algebra is normal, resolving a question of Wright that has stood open for 46 years. This was previously known in th…