Non-commutative automorphisms of bounded non-commutative domains

John E. McCarthy; Richard M. Timoney

doi:10.1017/S0308210515000748

Non-commutative automorphisms of bounded non-commutative domains

John E. McCarthy
, Richard M. Timoney

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

We establish rigidity (or uniqueness) theorems for non-commutative (NC) automorphisms that are natural extensions of classical results of H. Cartan and are improvements of recent results. We apply our results to NC domains consisting of unit balls of rectangular matrices.

Original language	English
Pages (from-to)	1037-1045
Number of pages	9
Journal	Proceedings of the Royal Society of Edinburgh Section A: Mathematics
Volume	146
Issue number	5
DOIs	https://doi.org/10.1017/S0308210515000748
State	Published - Oct 1 2016

Keywords

NC functions
automorphisms
non-commutative

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10.1017/S0308210515000748

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title = "Non-commutative automorphisms of bounded non-commutative domains",

abstract = "We establish rigidity (or uniqueness) theorems for non-commutative (NC) automorphisms that are natural extensions of classical 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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AU - Timoney, Richard M.

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AB - We establish rigidity (or uniqueness) theorems for non-commutative (NC) automorphisms that are natural extensions of classical results of H. Cartan and are improvements of recent results. We apply our results to NC domains consisting of unit balls of rectangular matrices.

KW - NC functions

KW - automorphisms

KW - non-commutative

UR - https://www.scopus.com/pages/publications/84966600833

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JO - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

JF - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

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Non-commutative automorphisms of bounded non-commutative domains

Abstract

Keywords

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