12 citations · 37 across the 29 of their papers we have counts for
6 papers · 1 filter
Elementary embeddings into ultrapower factors without a UCP lift
David Gao, David Jekel
We show that there are factors and elementary embeddings which do not lift to sequences of UCP maps, and in fact can be chosen from…
The unitary group of a factor is SOT-contractible
David Jekel
We show that the unitary group of any SOT-separable factor , with the strong operator topology, is contractible. Combined with several old results, this implies…
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})_…
The atoms of graph product von Neumann algebras
Ian Charlesworth, David Jekel
We completely classify the atomic summands in a graph product of von Neumann algebras with faithful normal states. Each type I factor summ…
Operator models and analytic subordination for operator-valued free convolution powers
Ian Charlesworth, David Jekel
We revisit the theory of operator-valued free convolution powers given by a completely positive map . We first give a general result, with a new analytic proof, that the -con…
Information geometry for types in the large- limit of random matrices
David Jekel
We study the interaction between entropy and Wasserstein distance in free probability theory. In particular, we give lower bounds for several versions of free entropy dimension alo…