Patrick Hiatt

collaborators

3 papers

math.OA2024

A Class of Freely Complemented von Neumann Subalgebras of $L F_{n}$

Nicholas Boschert, Ethan Davis, Patrick Hiatt

We prove that if $A_{1}, A_{2}, \dots, A_{n}$ are tracial abelian von Neumann algebras for $2 \leq n \leq \infty$ and $M = A_{1} * \dots * A_{n}$ is their free product, then any subalgebra $…

math.OA2024

On the singular abelian rank of ultraproduct II $_{1}$ factors

Patrick Hiatt, Sorin Popa

We prove that, under the continuum hypothesis $c = ℵ_{1}$ , any ultraproduct II $_{1}$ factor $M = \prod_{ω} M_{n}$ of separable finite factors $M_{n}$ contains more than $c$ man…

math.OA2023

Some classes of smooth bimodules over II $_{1}$ factors and their associated 1-cohomology spaces

Patrick Hiatt, Jesse Peterson, Sorin Popa

We study several classes of Banach bimodules over a II $_{1}$ factor $M$ , endowed with topologies that make them "smooth" with respect to $L^{p}$ -norms implemented by the trace on $M$ .…

A Class of Freely Complemented von Neumann Subalgebras of LFn​

On the singular abelian rank of ultraproduct II1​ factors

Some classes of smooth bimodules over II1​ factors and their associated 1-cohomology spaces

A Class of Freely Complemented von Neumann Subalgebras of $L F_{n}$

On the singular abelian rank of ultraproduct II $_{1}$ factors

Some classes of smooth bimodules over II $_{1}$ factors and their associated 1-cohomology spaces