3 papers
math.OA2026
A Game-Theoretic Unital Classification Theorem for -Algebras
Jennifer Pi, Michał Szachniewicz, Mira Tartarotti
We study the complexity of the -equivalence relation on unital -algebras, in the sense of descriptive set theory. We prove that -equivalence is analytic, which in turn…
math.OA2025
Free Independence is not definable
William Boulanger, Jakub Curda, Emma Harvey +2
Free independence is an important tool for studying the structure of operator algebras. It is natural to ask from the model-theoretic standpoint whether free independence is captur…
math.OA2025
Embeddings into the ultrapower of the Jiang-Su algebra
Ben Bouwen, Jennifer Pi
We study existence of embeddings into ultrapowers of the Jiang-Su algebra and the Razak-Jacelon algebra . More specifically, we show that the cone over a…