NC Automorphisms of nc-bounded domains
John E. McCarthy, Richard M. Timoney

TL;DR
This paper proves rigidity theorems for noncommutative automorphisms of nc-bounded domains, extending classical results and applying to domains of matrix unit balls, thereby advancing the understanding of noncommutative complex analysis.
Contribution
It introduces new rigidity theorems for nc automorphisms, generalizing classical results and improving recent findings in noncommutative geometry.
Findings
Established uniqueness theorems for nc automorphisms
Extended classical automorphism results to noncommutative settings
Applied results to nc-domains of matrix unit balls
Abstract
We establish rigidity (or uniqueness) theorems for nc automorphisms which are natural extensions of clasical results of H.~Cartan and are improvements of recent results. We apply our results to nc-domains consisting of unit balls of rectangular matrices.
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Taxonomy
TopicsHolomorphic and Operator Theory · Advanced Topics in Algebra · Geometric Analysis and Curvature Flows
