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Operator theory on noncommutative varieties, II

Gelu Popescu
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Abstract

We show that the constrained characteristic function is a complete unitary invariant for J-constrained completely non-coisometric (c.n.c.) row contractions, where J is a WOT-closed two-sided ideal of the noncommutative analytic Toeplitz algebra. We provide a model for this class of row contractions in terms of the constrained characteristic functions. In particular, we obtain a model theory for q-commuting c.n.c. row contractions.

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Gelu Popescu. 2007-03-21. Operator theory on noncommutative varieties, II. https://arxiv.org/abs/math/0509242

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