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Representations of Cuntz algebras associated to quasi-invariant Markov measures
In this paper, we answer the question of equivalence, or singularity, of two
given quasi-stationary Markov measures on one-sided infinite words, and the
corresponding question of equivalence of associated Cuntz algebra \O_N
representations. We do this by associating certain monic representations of
\O_N to quasi-stationary Markov measures, and then proving that equivalence
for pairs of measures is decided by unitary equivalence of the corresponding
pair of representations