Some automorphism invariance properties for multicontractions
Chafiq BenhidaDan Timotin
47A1347A45multicontractionPoisson kernelcharacteristic functionautomorphism
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.
Indiana University Mathematics Journal
2007
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10.1512/iumj.2007.56.3078
10.1512/iumj.2007.56.3078
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Indiana Univ. Math. J. 56 (2007) 481 - 500
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