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arXiv · 1401.7582

Representations of Cuntz algebras associated to quasi-invariant Markov measures

Dorin Ervin Dutkay·Palle E. T. Jorgensen
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Abstract

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 $Ø_N$ representations. We do this by associating certain monic representations of $Ø_N$ 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.

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Dorin Ervin Dutkay, Palle E. T. Jorgensen. 2014-03-31. Representations of Cuntz algebras associated to quasi-invariant Markov measures. https://arxiv.org/abs/1401.7582

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