Free biholomorphic classification of noncommutative domains
Operator Algebras
2011-11-15 v2 Functional Analysis
Abstract
In this paper we develop a theory of free holomorphic functions on noncommutative Reinhardt domains generated by positive regular free holomorphic functions in n noncommuting variables. We show that the free biholomorphic classification of these domains is the same as the classification, up to unital completely isometric isomorphisms, of the corresponding noncommutative domain algebras.
Keywords
Cite
@article{arxiv.1003.5139,
title = {Free biholomorphic classification of noncommutative domains},
author = {Gelu Popescu},
journal= {arXiv preprint arXiv:1003.5139},
year = {2011}
}
Comments
40 pages, corrected typos