Classification of Noncommutative Domain Algebras

Details Classification of Noncommutative Domain Algebras Classification of Noncommutative Domain Algebras

2012-03-25

arxiv.org/abs/1203.5548v1

Mathematics

Operator Algebras

4 Pages

Scientific paper

Noncommutative domain algebras are noncommutative analogues of the algebras of holomorphic functions on domains of $\C^n$ defined by holomorphic polynomials, and they generalize the noncommutative Hardy algebras. We present here a complete classification of these algebras based upon techniques inspired by multivariate complex analysis, and more specifically the classification of domains in hermitian spaces up to biholomorphic equivalence.

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