most citedMinimal Cuntz-Krieger Dilations and Representations of Cuntz-Krieger Algebras

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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…

math.OA2003

Standard dilations of q-commuting tuples

Santanu Dey

Here we study dilations of q-commuting tuples. In [BBD] the authors gave the correspondence between the two standard dilations of commuting tuples and here these results have been…