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Non-commutative automorphisms of bounded non-commutative domains

Part of: Global differential geometry Complex spaces with a group of automorphisms Automorphic functions

Published online by Cambridge University Press:  12 May 2016

John E. McCarthy  and
Richard M. Timoney
John E. McCarthy
Affiliation:
Department of Mathematics, Washington University, St. Louis, MO 63130, USA ([email protected])
Richard M. Timoney
Affiliation:
School of Mathematics, Trinity College, Dublin 2, Ireland
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Extract

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.

Keywords

non-commutativeautomorphismsNC functions

MSC classification

Secondary: 32M15: Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras 53C35: Symmetric spaces
Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 146 , Issue 5 , October 2016 , pp. 1037 - 1045
Copyright
Copyright © Royal Society of Edinburgh 2016 

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