An elementary proof of the inequality for conditional free entropy

D Jekel, J Pi - Documenta Mathematica, 2024 - content.ems.press
Through the study of large deviations theory for matrix Brownian motion, Biane, Capitaine,
and Guionnet proved the inequality. X/Ä. X/that relates two analogs of entropy in free …

Remarks on the diagonal embedding and strong 1-boundedness

SK Elayavalli - arXiv preprint arXiv:2210.03783, 2022 - arxiv.org
We identify a large class of hyperbolic groups whose von Neumann algebras are not
strongly 1-bounded: Sela's hyperbolic towers over $ F_2 $ subgroups. We also show that …