@techreport{1d51a9d39cf24adcb6640e6edfe517ed,

title = "Noncommutative hyperbolic metrics",

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. ",

keywords = "math.OA",

author = "Serban Belinschi and Victor Vinnikov",

note = "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",

year = "2017",

month = jul,

day = "31",

language = "???core.languages.en_GB???",

publisher = "arXiv:1707.09762 [math.OA]",

type = "WorkingPaper",

institution = "arXiv:1707.09762 [math.OA]",

}