13 papers
Simplicity of q-Gaussian C*-algebras
Tattwamasi Amrutam, David Jekel, Mateusz Wasilewski
We show that q-Gaussian -algebras for have the Dixmier averaging property, and hence are simple with a unique trace. We argue by combining rapid decay and spec…
Questions on the structure of random embeddings of
Ben Hayes, David Jekel, Srivatsav Kunnawalkam Elayavalli
Motivated by recent developments at the interface of operator algebras and random matrix theory, we propose new conjectures concerning the asymptotic structure of random matrix mod…
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 -c…
Exotic full factors via weakly coarse bimodules
David Gao, David Jekel, Srivatsav Kunnawalkam Elayavalli +1
We are able to explicitly compute the bimodule structure of von Neumann algebra inclusions in handle constructions, which arise as inductive limits of iterated amalgamated free pro…
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…
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}…