Abstract.
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 for the adjoints. This extends a definition given by G. Popescu. We prove that our characteristic function is a complete unitary invariant for such tuples and show how it can be computed.
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Dey, S., Gohm, R. Characteristic Functions for Ergodic Tuples. Integr. equ. oper. theory 58, 43–63 (2007). https://doi.org/10.1007/s00020-007-1480-6
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DOI: https://doi.org/10.1007/s00020-007-1480-6