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math.OA2026
Ultrapowers of spectral subspaces
Hiroshi Ando, Isaac Goldbring
We prove, for any W-probability space where is a type factor, any nontrivial, proper closed , and any nonprincipal ultrafil…
math.OA2026
Model theory and Connes' bicentralizer problem
Hiroshi Ando, Isaac Goldbring
We make a series of model-theoretic contributions to Connes' bicentralizer problem, one of the most prominent open problems in the theory of von Neumann algebras. Our work builds o…