Characteristic Functions for Ergodic Tuples

Details Characteristic Functions for Ergodic Tuples Characteristic Functions for Ergodic Tuples

2005-06-28

arxiv.org/abs/math/0506560v2

Mathematics

Operator Algebras

22 pages, changes made after referee's comments, to appear in Integral Equations and Operator Theory

Scientific paper

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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