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Operator theory on noncommutative varieties

Operator theory on noncommutative varieties

We develop a dilation theory for row contractions T := [T1, . . ., Tn] subject to constraints such as p(T1, . . ., Tn) = 0, p ∈ P, where P is a set of noncommutative polynomials.The model n-tuple is the universal row contraction [B1, . . ., Bn] …