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math.OA2005
Characteristic Functions for Ergodic Tuples
Santanu Dey, Rolf Gohm
Motivated by a result on weak Markov dilations, we define a notion of characteristic function for ergodic and coisometric row contractions with a one-dimensional invariant subspace…
math.OA2005★ 1 cited
Minimal Cuntz-Krieger Dilations and Representations of Cuntz-Krieger Algebras
B. V. Rajarama Bhat, Santanu Dey, Joachim Zacharias
Given a contractive tuple of Hilbert space operators satisfying certain -relations we show that there exists a unique minimal dilation to generators of Cuntz-Krieger algebras or…