Fuglede-Kadison determinants of matrix-valued semicircular elements and capacity estimates
Operator Algebras
2024-06-25 v1 Functional Analysis
Rings and Algebras
Abstract
We calculate the Fuglede-Kadison determinant of arbitrary matrix-valued semicircular operators in terms of the capacity of the corresponding covariance mapping. We also improve a lower bound by Garg, Gurvits, Oliveira, and Widgerson on this capacity, by making it dimension-independent.
Keywords
Cite
@article{arxiv.2406.15922,
title = {Fuglede-Kadison determinants of matrix-valued semicircular elements and capacity estimates},
author = {Tobias Mai and Roland Speicher},
journal= {arXiv preprint arXiv:2406.15922},
year = {2024}
}