Noncommutative hyperbolic metrics
Serban Belinschi (IMT), Victor Vinnikov
TL;DR
This paper introduces a new algebraic pseudometric to characterize noncommutative domains, explores its properties, and applies it to free probability, advancing the understanding of noncommutative hyperbolic metrics.
Contribution
It defines a novel algebraic pseudometric for noncommutative domains and demonstrates its properties and applications in free probability.
Findings
Defined a new noncommutative pseudometric
Proved properties of the pseudometric
Applied the pseudometric to free probability
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Algebra and Geometry · Holomorphic and Operator Theory · Advanced Operator Algebra Research