Some automorphism invariance properties for multicontractions
Functional Analysis
2007-05-23 v1 Operator Algebras
Abstract
In the theory of row contractions on a Hilbert space, as initiated by Popescu, two important objects are the Poisson kernel and the characteristic function. We determine their behaviour with respect to the action of the group of unitarily implemented automorphisms of the algebra generated by creation operators on the Fock space. The case of noncommutative varieties, introduced recently by Popescu, is also discussed.
Cite
@article{arxiv.math/0607578,
title = {Some automorphism invariance properties for multicontractions},
author = {Chafiq Benhida and Dan Timotin},
journal= {arXiv preprint arXiv:math/0607578},
year = {2007}
}