On the singular abelian rank of ultraproduct II factors
P Hiatt, S Popa - arXiv preprint arXiv:2402.18559, 2024 - arxiv.org
We prove that, under the continuum hypothesis $\frak c=\aleph_1 $, any ultraproduct II $ _1
$ factor $ M=\prod_ {\omega} M_n $ of separable finite factors $ M_n $ contains more than …
$ factor $ M=\prod_ {\omega} M_n $ of separable finite factors $ M_n $ contains more than …
A Class of Freely Complemented von Neumann Subalgebras of
N Boschert, E Davis, P Hiatt - arXiv preprint arXiv:2411.05136, 2024 - arxiv.org
We prove that if $ A_1, A_2,\dots, A_n $ are tracial abelian von Neumann algebras for $2\leq
n\leq\infty $ and $ M= A_1*\cdots* A_n $ is their free product, then any subalgebra …
n\leq\infty $ and $ M= A_1*\cdots* A_n $ is their free product, then any subalgebra …