Some automorphism invariance properties for multicontractions

Details Some automorphism invariance properties for multicontractions Some automorphism invariance properties for multicontractions

2006-07-23

arxiv.org/abs/math/0607578v1

Mathematics

Functional Analysis

Scientific paper

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.

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