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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…
math.OA2025
Strong convergence to operator-valued semicirculars
David Jekel, Yoonkyeong Lee, Brent Nelson +1
We establish a framework for weak and strong convergence of matrix models to operator-valued semicircular systems parametrized by operator-valued covariance matrices $η= (η_{i,j})_…