Noncommutative hyperbolic metrics
Operator Algebras
2019-10-15 v2
Abstract
We characterize certain noncommutative domains in terms of noncommutative holomorphic equivalence via a pseudometric that we define in purely algebraic terms. We prove some properties of this pseudometric and provide an application to free probability.
Cite
@article{arxiv.1707.09762,
title = {Noncommutative hyperbolic metrics},
author = {Serban Belinschi and Victor Vinnikov},
journal= {arXiv preprint arXiv:1707.09762},
year = {2019}
}
Comments
Second version: expanded introduction, several modifications, including the definition of a new distance, a correction in Proposition 4.7, and a strengthening of the free probability results. Comments welcome